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weil-etale.bib
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@incollection {Artin-Verdier-1964,
author = {Artin, Michael and Verdier, Jean-Louis},
booktitle = {Lecture notes prepared in connection with the seminars held at the summer institute on algebraic geometry. Whitney estate, {W}oods {H}ole, {M}assachusetts. July 6 -- {J}uly 31, 1964},
publisher = {Amer. Math. Soc., Providence, RI},
title = {Seminar on \'{e}tale cohomology of number fields},
url = {https://www.jmilne.org/math/Documents/woodshole.pdf},
year = {1964},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Bayer-Neukirch-1978,
author = {B\'{a}yer, Pilar and Neukirch, J\"{u}rgen},
doi = {10.1007/BF01406467},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
journal = {Invent. Math.},
mrnumber = {516603},
number = {1},
pages = {35--64},
title = {On values of zeta functions and {$l$}-adic {E}uler characteristics},
volume = {50},
year = {1978},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Beilinson-1984,
author = {Beilinson, A. A.},
booktitle = {Current problems in mathematics, {V}ol. 24},
key = {Bei1984},
mrnumber = {760999},
pages = {181--238},
publisher = {Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow},
series = {Itogi Nauki i Tekhniki},
title = {Higher regulators and values of {$L$}-functions},
year = {1984},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Beilinson-Bernstein-Deligne,
author = {Beilinson, A. A. and Bernstein, J. and Deligne, P.},
booktitle = {Analysis and topology on singular spaces, {I} ({L}uminy, 1981)},
mrnumber = {751966},
pages = {5--171},
publisher = {Soc. Math. France, Paris},
series = {Ast\'{e}risque},
title = {Faisceaux pervers},
volume = {100},
year = {1982},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@misc {Beshenov-Weil-etale-1,
arxiv = {2012.11034},
author = {Beshenov, Alexey},
note = {arXiv preprint 2012.11034, submitted for publication},
title = {Weil-\'{e}tale cohomology and duality for arithmetic schemes in negative weights},
year = {2021},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@misc {Beshenov-Weil-etale-2,
arxiv = {2102.12114},
author = {Beshenov, Alexey},
note = {arXiv preprint 2102.12114, submitted for publication},
title = {Weil-\'{e}tale cohomology and zeta-values of arithmetic schemes at negative integers},
year = {2021},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Bhatt-Scholze-2015,
arxiv = {1309.1198},
author = {Bhatt, Bhargav and Scholze, Peter},
fjournal = {Ast\'{e}risque},
isbn = {978-2-85629-805-3},
issn = {0303-1179},
journal = {Ast\'{e}risque},
mrnumber = {3379634},
number = {369},
pages = {99--201},
title = {The pro-\'{e}tale topology for schemes},
year = {2015},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Bloch-1986,
author = {Bloch, Spencer},
doi = {10.1016/0001-8708(86)90081-2},
fjournal = {Advances in Mathematics},
issn = {0001-8708},
journal = {Adv. in Math.},
mrnumber = {852815},
number = {3},
pages = {267--304},
title = {Algebraic cycles and higher {$K$}-theory},
volume = {61},
year = {1986},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Bloch-1986-Lefschetz,
author = {Bloch, Spencer},
booktitle = {The {L}efschetz centennial conference, {P}art {I} ({M}exico {C}ity, 1984)},
doi = {10.1090/conm/058.1/860404},
mrclass = {14C35 (11G45 11R42 14F15 19F27)},
mrnumber = {860404},
pages = {65--79},
publisher = {Amer. Math. Soc., Providence, RI},
series = {Contemp. Math.},
title = {Algebraic cycles and the {B}eilinson conjectures},
volume = {58},
year = {1986},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Borel-1974,
author = {Borel, Armand},
doi = {10.24033/asens.1269},
fjournal = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme S\'{e}rie},
issn = {0012-9593},
journal = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
mrnumber = {387496},
pages = {235--272 (1975)},
title = {Stable real cohomology of arithmetic groups},
volume = {7},
year = {1974},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Borel-1977,
author = {Borel, Armand},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV},
issn = {0391-173X},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
mrnumber = {506168},
number = {4},
pages = {613--636},
title = {Cohomologie de {${\rm SL}_{n}$} et valeurs de fonctions zeta aux points entiers},
url = {http://www.numdam.org/item?id=ASNSP_1977_4_4_4_613_0},
volume = {4},
year = {1977},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@book {Borevich-Shafarevich,
AUTHOR = {Borevich, A. I. and Shafarevich, I. R.},
TITLE = {Number theory},
SERIES = {Translated from the Russian by Newcomb Greenleaf. Pure and Applied Mathematics, Vol. 20},
PUBLISHER = {Academic Press, New York-London},
YEAR = {1966},
PAGES = {x+435},
MRNUMBER = {0195803},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Brosnan-2005,
arxiv = {math/0407305},
author = {Brosnan, Patrick},
doi = {10.1007/s00222-004-0419-7},
fjournal = {Inventiones mathematicae},
issn = {1432-1297},
journal = {Invent. Math.},
mrnumber = {2178658},
pages = {91--111},
title = {On motivic decompositions arising from the method of {B}ia\l{}ynicki-{B}irula},
volume = {161},
year = {2005},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@book {Brown-1994,
author = {Brown, Kenneth S.},
doi = {10.1007/978-1-4684-9327-6},
isbn = {0-387-90688-6},
mrnumber = {1324339},
note = {Corrected reprint of the 1982 original},
pages = {x+306},
publisher = {Springer-Verlag, New York},
series = {Graduate Texts in Mathematics},
title = {Cohomology of groups},
volume = {87},
year = {1994},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@misc {Chiu-2012,
arxiv = {abs/1112.0092},
author = {Chiu, Yi-Chih},
mrnumber = {3152645},
note = {PhD thesis, California Institute of Technology},
title = {On the {W}eil-etale {C}ohomology of {S}-integers},
url = {https://www.proquest.com/docview/1328174725},
year = {2012},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Conrad-Deligne-Nagata,
author = {Conrad, Brian},
fjournal = {Journal of the Ramanujan Mathematical Society},
issn = {0970-1249},
journal = {J. Ramanujan Math. Soc.},
mrnumber = {2356346},
number = {3},
pages = {205--257},
title = {Deligne's notes on {N}agata compactifications},
url = {https://math.stanford.edu/~conrad/papers/nagatafinal.pdf},
volume = {22},
year = {2007},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Conrad-Deligne-Nagata-erratum,
author = {Conrad, Brian},
fjournal = {Journal of the Ramanujan Mathematical Society},
issn = {0970-1249},
journal = {J. Ramanujan Math. Soc.},
mrnumber = {2599570},
number = {4},
pages = {427--428},
title = {Erratum for ``{D}eligne's notes on {N}agata compactifications''},
volume = {24},
year = {2009},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Deligne-Weil-II,
author = {Deligne, Pierre},
fjournal = {Institut des Hautes \'{E}tudes Scientifiques. Publications Math\'{e}matiques},
issn = {0073-8301},
journal = {Inst. Hautes \'{E}tudes Sci. Publ. Math.},
mrnumber = {601520},
number = {52},
pages = {137--252},
title = {La conjecture de {W}eil. {II}},
url = {http://www.numdam.org/item?id=PMIHES_1980__52__137_0},
year = {1980},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Esnault-Viehweg-1988,
author = {Esnault, H\'{e}l\`ene and Viehweg, Eckart},
booktitle = {Beilinson's conjectures on special values of {$L$}-functions},
mrnumber = {944991},
pages = {43--91},
publisher = {Academic Press, Boston, MA},
series = {Perspect. Math.},
title = {Deligne-{B}eilinson cohomology},
url = {https://www.uni-muenster.de/u/pschnei/publ/beilinson-volume/},
volume = {4},
year = {1988},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@misc {Fan-2015,
author = {Fan, Sin Tsun Edward},
doi = {10.7907/Z9BZ63Z1},
mrnumber = {3389076},
note = {PhD thesis, California Institute of Technology},
title = {On the Construction of Higher \'{e}tale Regulators},
year = {2015},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Flach-2004,
author = {Flach, Matthias},
booktitle = {Stark's conjectures: recent work and new directions},
doi = {10.1090/conm/358/06537},
mrnumber = {2088713},
note = {With an appendix by C. Greither},
pages = {79--125},
publisher = {Amer. Math. Soc., Providence, RI},
series = {Contemp. Math.},
title = {The equivariant {T}amagawa number conjecture: a survey},
url = {http://www.math.caltech.edu/papers/baltimore-final.pdf},
volume = {358},
year = {2004},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Flach-2008,
author = {Flach, Matthias},
doi = {10.1112/S0010437X07003338},
fjournal = {Compositio Mathematica},
issn = {0010-437X},
journal = {Compos. Math.},
mrnumber = {2422342},
number = {3},
pages = {633--656},
title = {Cohomology of topological groups with applications to the {W}eil group},
url = {http://www.math.caltech.edu/~flach/topological_groups.pdf},
volume = {144},
year = {2008},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Flach-Morin-2012,
arxiv = {1010.3833},
author = {Flach, Matthias and Morin, Baptiste},
fjournal = {Documenta Mathematica},
issn = {1431-0635},
journal = {Doc. Math.},
mrnumber = {2946826},
pages = {313--399},
title = {On the {W}eil-\'{e}tale topos of regular arithmetic schemes},
url = {https://www.math.uni-bielefeld.de/documenta/vol-17/11.html},
volume = {17},
year = {2012},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Flach-Morin-2018,
arxiv = {1605.01277},
author = {Flach, Matthias and Morin, Baptiste},
doi = {10.25537/dm.2018v23.1425-1560},
fjournal = {Documenta Mathematica},
issn = {1431-0635},
journal = {Doc. Math.},
mrnumber = {3874942},
pages = {1425--1560},
title = {Weil-\'{e}tale cohomology and zeta-values of proper regular arithmetic schemes},
volume = {23},
year = {2018},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Flach-Morin-2021,
arxiv = {2005.04829},
author = {Flach, Matthias and Morin, Baptiste},
doi = {10.25537/dm.2021v26.1633-1677},
fjournal = {Documenta Mathematica},
issn = {1431-0635},
journal = {Doc. Math.},
pages = {1633--1677},
title = {Compatibility of special value conjectures with the functional equation of zeta functions},
volume = {26},
year = {2021},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Flach-Morin-2020-Muenster,
author = {Flach, Matthias and Morin, Baptiste},
doi = {10.17879/90169642993},
fjournal = {M\"{u}nster Journal of Mathematics},
issn = {1867-5778},
journal = {M\"{u}nster J. Math.},
mrnumber = {4130691},
number = {2},
pages = {519--540},
title = {Deninger's conjectures and {W}eil-{A}rakelov cohomology},
volume = {13},
year = {2020},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Fontaine-Perrin-Riou-1994,
author = {Fontaine, Jean-Marc and Perrin-Riou, Bernadette},
booktitle = {Motives ({S}eattle, {WA}, 1991)},
mrnumber = {1265546},
pages = {599--706},
publisher = {Amer. Math. Soc., Providence, RI},
series = {Proc. Sympos. Pure Math.},
title = {Autour des conjectures de {B}loch et {K}ato: cohomologie galoisienne et valeurs de fonctions {$L$}},
volume = {55},
year = {1994},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2004,
arxiv = {math/0404425},
author = {Geisser, Thomas},
doi = {10.1007/s00208-004-0564-8},
fjournal = {Mathematische Annalen},
issn = {0025-5831},
journal = {Math. Ann.},
mrnumber = {2102307},
number = {4},
pages = {665--692},
title = {Weil-\'{e}tale cohomology over finite fields},
volume = {330},
year = {2004},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2004-Dedekind,
author = {Geisser, Thomas},
doi = {10.1007/s00209-004-0680-x},
fjournal = {Mathematische Zeitschrift},
issn = {0025-5874},
journal = {Math. Z.},
mrnumber = {2103541},
number = {4},
pages = {773--794},
title = {Motivic cohomology over {D}edekind rings},
volume = {248},
year = {2004},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Geisser-2005,
author = {Geisser, Thomas},
booktitle = {Handbook of {$K$}-theory. {V}ol. 1, 2},
doi = {10.1007/3-540-27855-9_6},
mrnumber = {2181824},
pages = {193--234},
publisher = {Springer, Berlin},
title = {Motivic cohomology, {$K$}-theory and topological cyclic homology},
url = {https://faculty.math.illinois.edu/K-theory/handbook/},
year = {2005},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2006,
arxiv = {math/0405164},
author = {Geisser, Thomas},
doi = {10.1215/S0012-7094-06-13312-4},
fjournal = {Duke Mathematical Journal},
issn = {0012-7094},
journal = {Duke Math. J.},
mrnumber = {2219269},
number = {1},
pages = {27--57},
title = {Arithmetic cohomology over finite fields and special values of {$\zeta$}-functions},
volume = {133},
year = {2006},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2010,
arxiv = {math/0608456},
author = {Geisser, Thomas},
doi = {10.4007/annals.2010.172.1095},
fjournal = {Annals of Mathematics. Second Series},
issn = {0003-486X},
journal = {Ann. of Math. (2)},
mrnumber = {2680487},
number = {2},
pages = {1095--1126},
title = {Duality via cycle complexes},
volume = {172},
year = {2010},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2010-arithmetic-homology,
arxiv = {0704.1192},
author = {Geisser, Thomas},
doi = {10.1515/CRELLE.2010.050},
fjournal = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's Journal]},
issn = {0075-4102},
journal = {J. Reine Angew. Math.},
mrnumber = {2671773},
pages = {1--22},
title = {Arithmetic homology and an integral version of {K}ato's conjecture},
volume = {644},
year = {2010},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Geisser-2012,
arxiv = {1103.5544},
author = {Geisser, Thomas},
booktitle = {Regulators},
doi = {10.1090/conm/571/11326},
mrnumber = {2953413},
pages = {153--165},
publisher = {Amer. Math. Soc., Providence, RI},
series = {Contemp. Math.},
title = {Finite generation conjectures for motivic cohomology theories over finite fields},
volume = {571},
year = {2012},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2017,
arxiv = {1609.02273},
author = {Geisser, Thomas},
doi = {10.1016/j.jpaa.2016.12.019},
fjournal = {Journal of Pure and Applied Algebra},
issn = {0022-4049},
journal = {J. Pure Appl. Algebra},
mrnumber = {3614969},
number = {7},
pages = {1614--1628},
title = {On the structure of \'{e}tale motivic cohomology},
volume = {221},
year = {2017},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2019,
author = {Geisser, Thomas H.},
doi = {10.1017/nmj.2018.47},
fjournal = {Nagoya Mathematical Journal},
issn = {0027-7630},
journal = {Nagoya Math. J.},
mrnumber = {4094414},
pages = {63--83},
title = {Hasse principles for \'{e}tale motivic cohomology},
volume = {236},
year = {2019},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-2019-Sugaku,
author = {Geisser, Thomas},
doi = {10.1090/suga/443},
fjournal = {Sugaku Expositions},
issn = {0898-9583},
journal = {Sugaku Expositions},
mrnumber = {4018217},
number = {2},
pages = {181--203},
title = {Motivic cohomology: applications and conjectures},
volume = {32},
year = {2019},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-Schmidt-2018,
arxiv = {1709.06913},
author = {Geisser, Thomas and Schmidt, Alexander},
doi = {10.1112/s0010437x18007340},
fjournal = {Compositio Mathematica},
issn = {0010-437X},
journal = {Compos. Math.},
mrnumber = {3867292},
number = {9},
pages = {2020--2044},
title = {Poitou-{T}ate duality for arithmetic schemes},
volume = {154},
year = {2018},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Geisser-Suzuki-2020,
arxiv = {1812.03619},
author = {Geisser, Thomas H. and Suzuki, Takashi},
doi = {10.1016/j.jnt.2019.08.013},
fjournal = {Journal of Number Theory},
issn = {0022-314X},
journal = {J. Number Theory},
mrnumber = {4032302},
pages = {367--389},
title = {A {W}eil-\'{e}tale version of the {B}irch and {S}winnerton-{D}yer formula over function fields},
volume = {208},
year = {2020},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@book {Gelfand-Kapranov-Zelevinsky-1994,
author = {Gel${}'$fand, {I.\,M.} and Kapranov, {M.\,M.} and Zelevinsky, {A.\,V.}},
doi = {10.1007/978-0-8176-4771-1},
isbn = {0-8176-3660-9},
mrnumber = {1264417},
pages = {x+523},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
series = {Mathematics: Theory \& Applications},
title = {Discriminants, resultants, and multidimensional determinants},
year = {1994},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Goncharov-2005,
author = {Goncharov, Alexander B.},
booktitle = {Handbook of {$K$}-theory. {V}ol. 1, 2},
doi = {10.1007/3-540-27855-9_8},
mrnumber = {2181826},
pages = {295--349},
publisher = {Springer, Berlin},
title = {Regulators},
url = {https://faculty.math.illinois.edu/K-theory/handbook/},
year = {2005},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Grothendieck-FL,
author = {Grothendieck, Alexander},
booktitle = {Dix expos\'{e}s sur la cohomologie des sch\'{e}mas},
mrnumber = {3202554},
pages = {31--45},
publisher = {North-Holland, Amsterdam},
series = {Adv. Stud. Pure Math.},
title = {Formule de {L}efschetz et rationalit\'{e} des fonctions {$L$}},
volume = {3},
year = {1968},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@book {Haberland-1978,
author = {Haberland, Klaus},
mrnumber = {519872},
note = {With two appendices by Helmut Koch and Thomas Zink},
pages = {145},
publisher = {VEB Deutscher Verlag der Wissenschaften, Berlin},
title = {Galois cohomology of algebraic number fields},
year = {1978},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Harder-1977,
author = {Harder, G\"{u}nter},
doi = {10.1007/BF01389786},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
journal = {Invent. Math.},
mrnumber = {473102},
pages = {135--175},
title = {Die {K}ohomologie {$S$}-arithmetischer {G}ruppen \"{u}ber {F}unktionenk\"{o}rpern},
volume = {42},
year = {1977},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Huber-Kings-2003,
arxiv = {math/0101071},
author = {Huber, Annette and Kings, Guido},
doi = {10.1215/S0012-7094-03-11931-6},
fjournal = {Duke Mathematical Journal},
issn = {0012-7094},
journal = {Duke Math. J.},
mrnumber = {2002643},
number = {3},
pages = {393--464},
title = {Bloch-{K}ato conjecture and {M}ain {C}onjecture of {I}wasawa theory for {D}irichlet characters},
volume = {119},
year = {2003},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Jannsen-1988,
author = {Jannsen, Uwe},
booktitle = {Beilinson's conjectures on special values of {$L$}-functions},
mrnumber = {944998},
pages = {305--372},
publisher = {Academic Press, Boston, MA},
series = {Perspect. Math.},
title = {Deligne homology, {H}odge-{$\mathcal{D}$}-conjecture, and motives},
url = {https://www.uni-muenster.de/u/pschnei/publ/beilinson-volume/},
volume = {4},
year = {1988},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Jenner-1969,
author = {Jenner, W. E.},
fjournal = {Duke Mathematical Journal},
issn = {0012-7094},
journal = {Duke Math. J.},
mrnumber = {249394},
pages = {669--671},
title = {On zeta functions of number fields},
url = {http://projecteuclid.org/euclid.dmj/1077378627},
volume = {36},
year = {1969},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@misc {Jiang-2006,
author = {Jiang, Yongbin},
mrnumber = {2709112},
note = {PhD Thesis, Brown University},
publisher = {ProQuest LLC, Ann Arbor, MI},
title = {Weil-etale topology over local rings},
url = {https://www.proquest.com/docview/305354930},
year = {2006},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Jordan-Poonen-2020,
arxiv = {1604.04564},
author = {Jordan, Bruce W. and Poonen, Bjorn},
doi = {10.1112/blms.12357},
fjournal = {Bulletin of the London Mathematical Society},
issn = {0024-6093},
journal = {Bull. Lond. Math. Soc.},
mrnumber = {4171403},
number = {5},
pages = {793--806},
title = {The analytic class number formula for 1-dimensional affine schemes},
volume = {52},
year = {2020},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kahn-2003,
author = {Kahn, Bruno},
doi = {10.1016/S0022-314X(02)00064-1},
fjournal = {Journal of Number Theory},
issn = {0022-314X},
journal = {J. Number Theory},
mrnumber = {1957244},
number = {1},
pages = {57--73},
title = {Some finiteness results for \'{e}tale cohomology},
volume = {99},
year = {2003},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kahn-2003-equivalences,
author = {Kahn, Bruno},
doi = {10.1016/j.ansens.2003.02.002},
fjournal = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme S\'{e}rie},
issn = {0012-9593},
journal = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
mrnumber = {2032532},
number = {6},
pages = {977--1002 (2004)},
title = {\'{E}quivalences rationnelle et num\'{e}rique sur certaines vari\'{e}t\'{e}s de type ab\'{e}lien sur un corps fini},
volume = {36},
year = {2003},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Kahn-2005,
author = {Kahn, Bruno},
booktitle = {Handbook of {$K$}-theory. {V}ol. 1, 2},
doi = {10.1007/3-540-27855-9_9},
mrnumber = {2181827},
pages = {351--428},
publisher = {Springer, Berlin},
title = {Algebraic {$K$}-theory, algebraic cycles and arithmetic geometry},
url = {https://faculty.math.illinois.edu/K-theory/handbook/},
year = {2005},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@misc {Karpuk-2012,
author = {Karpuk, David A.},
mrnumber = {3067877},
note = {PhD Thesis, University of Maryland},
title = {Weil-etale cohomology over local fields},
url = {https://www.proquest.com/docview/1033562142},
year = {2012},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Karpuk-2014,
arxiv = {1111.6710},
author = {Karpuk, David A.},
doi = {10.1016/j.jalgebra.2014.06.016},
fjournal = {Journal of Algebra},
issn = {0021-8693},
journal = {J. Algebra},
mrnumber = {3232796},
pages = {122--138},
title = {Weil-\'{e}tale cohomology of curves over {$p$}-adic fields},
volume = {416},
year = {2014},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Kato-1993,
author = {Kato, Kazuya},
booktitle = {Arithmetic algebraic geometry ({T}rento, 1991)},
doi = {10.1007/BFb0084729},
mrnumber = {1338860},
pages = {50--163},
publisher = {Springer, Berlin},
series = {Lecture Notes in Math.},
title = {Lectures on the approach to {I}wasawa theory for {H}asse-{W}eil {$L$}-functions via {$B_{\rm dR}$}. {I}},
volume = {1553},
year = {1993},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Katz-1994,
author = {Katz, Nicholas M.},
booktitle = {Motives ({S}eattle, {WA}, 1991)},
mrnumber = {1265520},
pages = {21--30},
publisher = {Amer. Math. Soc., Providence, RI},
series = {Proc. Sympos. Pure Math.},
title = {Review of {$\ell$}-adic cohomology},
volume = {55},
year = {1994},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kedlaya-2006,
arxiv = {math/0210149},
author = {Kedlaya, Kiran S.},
doi = {10.1112/S0010437X06002338},
fjournal = {Compositio Mathematica},
issn = {0010-437X},
journal = {Compos. Math.},
mrnumber = {2278753},
number = {6},
pages = {1426--1450},
title = {Fourier transforms and {$p$}-adic `{W}eil {II}'},
volume = {142},
year = {2006},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kerr-Lewis-2007,
arxiv = {math/0611333},
author = {Kerr, Matt and Lewis, James D.},
doi = {10.1007/s00222-007-0066-x},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
journal = {Invent. Math.},
mrnumber = {2342640},
number = {2},
pages = {355--420},
title = {The {A}bel-{J}acobi map for higher {C}how groups. {II}},
volume = {170},
year = {2007},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kerr-Lewis-Lopatto-2018,
arxiv = {1502.05459},
author = {Kerr, Matt and Lewis, James D. and Lopatto, Patrick},
doi = {10.1090/jag/692},
fjournal = {Journal of Algebraic Geometry},
issn = {1056-3911},
journal = {J. Algebraic Geom.},
mrnumber = {3722692},
note = {With an appendix by Jos\'{e} Ignacio Burgos-Gil},
number = {1},
pages = {121--172},
title = {Simplicial {A}bel-{J}acobi maps and reciprocity laws},
volume = {27},
year = {2018},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kerr-Lewis-Muller-Stach-2006,
arxiv = {math/0409116},
author = {Kerr, Matt and Lewis, James D. and M\"{u}ller-Stach, Stefan},
doi = {10.1112/S0010437X05001867},
fjournal = {Compositio Mathematica},
issn = {0010-437X},
journal = {Compos. Math.},
mrnumber = {2218900},
number = {2},
pages = {374--396},
title = {The {A}bel-{J}acobi map for higher {C}how groups},
volume = {142},
year = {2006},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kerr-Li-2020,
arxiv = {1809.04114},
author = {Kerr, Matt and Li, Muxi},
doi = {10.2140/pjm.2020.306.539},
fjournal = {Pacific Journal of Mathematics},
issn = {0030-8730},
journal = {Pacific J. Math.},
mrnumber = {4129411},
number = {2},
pages = {539--556},
title = {Two applications of the integral regulator},
volume = {306},
year = {2020},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Knudsen-Mumford-1976,
author = {Knudsen, Finn Faye and Mumford, David},
doi = {10.7146/math.scand.a-11642},
fjournal = {Mathematica Scandinavica},
issn = {0025-5521},
journal = {Math. Scand.},
mrnumber = {437541},
number = {1},
pages = {19--55},
title = {The projectivity of the moduli space of stable curves. {I}. {P}reliminaries on ``det'' and ``{D}iv''},
volume = {39},
year = {1976},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Kolster-2004,
author = {Kolster, Manfred},
booktitle = {Contemporary developments in algebraic {$K$}-theory},
mrnumber = {2175640},
pages = {191--258},
publisher = {Abdus Salam Int. Cent. Theoret. Phys., Trieste},
series = {ICTP Lect. Notes, XV},
title = {{$K$}-theory and arithmetic},
url = {http://users.ictp.it/~pub_off/lectures/lns015/Kolster/},
year = {2004},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Kolster-Sands-2008,
author = {Kolster, Manfred and Sands, Jonathan W.},
fjournal = {Annales des Sciences Math\'{e}matiques du Qu\'{e}bec},
issn = {0707-9109},
journal = {Ann. Sci. Math. Qu\'{e}bec},
mrnumber = {2562043},
number = {2},
pages = {175--187},
title = {Annihilation of motivic cohomology groups in cyclic 2-extensions},
url = {http://www.labmath.uqam.ca/~annales/english/volumes/32-2.html},
volume = {32},
year = {2008},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Krause-2007,
author = {Krause, Henning},
booktitle = {Interactions between homotopy theory and algebra},
doi = {10.1090/conm/436/08405},
mrclass = {18E30 (18G10)},
mrnumber = {2355771},
pages = {101--139},
publisher = {Amer. Math. Soc., Providence, RI},
series = {Contemp. Math.},
title = {Derived categories, resolutions, and {B}rown representability},
volume = {436},
year = {2007},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article {Lee-Szczarba-1976,
author = {Lee, Ronnie and Szczarba, Robert Henry},
doi = {10.2307/1971055},
fjournal = {Annals of Mathematics. Second Series},
issn = {0003-486X},
journal = {Ann. of Math. (2)},
mrnumber = {442934},
number = {1},
pages = {31--60},
title = {The group {$K_{3}(Z)$} is cyclic of order forty-eight},
volume = {104},
year = {1976},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@incollection {Levine-1994,