Horizontal Factorizations of Certain Hasse-Weil Zeta Functions - a Remark on a Paper by Taniyama

Christopher Deninger; Dimitri Wegner

Rendiconti del Seminario Matematico della Università di Padova (2012)

  • Volume: 128, page 91-108
  • ISSN: 0041-8994

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Deninger, Christopher, and Wegner, Dimitri. "Horizontal Factorizations of Certain Hasse-Weil Zeta Functions - a Remark on a Paper by Taniyama." Rendiconti del Seminario Matematico della Università di Padova 128 (2012): 91-108. <http://eudml.org/doc/275130>.

@article{Deninger2012,
author = {Deninger, Christopher, Wegner, Dimitri},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Hasse-Weil zeta function; Abelian scheme; algebraic torus; -adic representations; Artin -series},
language = {eng},
pages = {91-108},
publisher = {Seminario Matematico of the University of Padua},
title = {Horizontal Factorizations of Certain Hasse-Weil Zeta Functions - a Remark on a Paper by Taniyama},
url = {http://eudml.org/doc/275130},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Deninger, Christopher
AU - Wegner, Dimitri
TI - Horizontal Factorizations of Certain Hasse-Weil Zeta Functions - a Remark on a Paper by Taniyama
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2012
PB - Seminario Matematico of the University of Padua
VL - 128
SP - 91
EP - 108
LA - eng
KW - Hasse-Weil zeta function; Abelian scheme; algebraic torus; -adic representations; Artin -series
UR - http://eudml.org/doc/275130
ER -

References

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  4. [EGAIV3] A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. III, Inst. Hautes Études Sci. Publ. Math., 28 (1966), p. 255. Zbl0144.19904MR217086
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  9. [N] Jürgen Neukirch, Algebraic number theory, volume 322 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] (Springer-Verlag, Berlin, 1999) Translated from the 1992 German original and with a note by Norbert Schappacher, with a foreword by G. Harder. Zbl0956.11021MR1697859
  10. [S] Jean-Pierre Serre, Abelian l -adic representations and elliptic curves, McGill University lecture notes written with the collaboration of Willem Kuyk and John Labute. W. A. Benjamin, Inc., New York-Amsterdam, 1968. Zbl0186.25701MR263823
  11. [T] Yutaka Taniyama, L -functions of number fields and zeta functions of abelian varieties., J. Math. Soc. Japan, 9 (1957), pp. 330–366. Zbl0213.22803MR95161
  12. [Wa] William C. Waterhouse, Introduction to affine group schemes, volume 66 of Graduate Texts in Mathematics (Springer-Verlag, New York, 1979). Zbl0442.14017MR547117
  13. [We] André Weil, Variétés abéliennes et courbes algébriques, Actualités Sci. Ind., no. 1064 = Publ. Inst. Math. Univ. Strasbourg 8 (1946), Hermann & Cie., Paris, 1948. Zbl0037.16202MR29522

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