English

Fonctions z\^eta et $L$ de vari\'et\'es et de motifs

Number Theory 2020-06-04 v2 Algebraic Geometry

Abstract

R\'edaction d'un cours de M2 donn\'e \`a Jussieu au printemps 2013. This is the write-up of a Masters course given at Jussieu in Spring 2013.

Keywords

Cite

@article{arxiv.1512.09250,
  title  = {Fonctions z\^eta et $L$ de vari\'et\'es et de motifs},
  author = {Bruno Kahn},
  journal= {arXiv preprint arXiv:1512.09250},
  year   = {2020}
}

Comments

189 pages, in French. Main changes w.r.t. first version: discussions of the constant of the functional equation (4.6), good reduction (5.2), specialisation of motives (6.8) and the Tate conjecture (6.14); some exercises and an index