A motivic formula for the L-function of an abelian variety over a function field - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2014

A motivic formula for the L-function of an abelian variety over a function field

Bruno Kahn

Résumé

Let A be an abelian variety over the function field of a smooth projective curve C over an algebraically closed field k. We compute the l-adic cohomology groups of C with coefficients in the locally constant sheaf associated to H^1(\bar A,Q_l) in terms of arithmetico-geometric invariants of A. We apply this, when k is the algebraic closure of a finite field, to a motivic computation of the L-function of A.
Fichier principal
Vignette du fichier
surface-over-curve6.pdf (206.11 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00936767 , version 1 (27-01-2014)
hal-00936767 , version 2 (04-03-2014)

Identifiants

Citer

Bruno Kahn. A motivic formula for the L-function of an abelian variety over a function field. 2014. ⟨hal-00936767v2⟩
122 Consultations
196 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More