On the étale cohomology of torsors for abelian schemes
type: Item
instance of: scholarly article
title: On the étale cohomology of torsors for abelian schemes
zbMATH Open document ID: 0832.14010
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1996-03-05T00:00:00Z
review text: We study the Leray spectral sequence for the integral \(\ell\)-adic cohomology of torsors for abelian schemes. For an abelian scheme over a smooth, geometrically irrducible curve over a finite field, we relate the question of whether a torsor is determined by its étale cohomology with the conjectured finiteness of the set of all such torsors.
Mathematics Subject Classification ID: 14F20
Mathematics Subject Classification ID: 14F30
Mathematics Subject Classification ID: 14K15
Mathematics Subject Classification ID: 14M17
zbMATH DE Number: 822821
zbMATH Keywords: \(\ell\)-adic cohomology
zbMATH Keywords: torsors
zbMATH Keywords: abelian schemes
zbMATH Keywords: étale cohomology
author: Gerald E. Welters
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225519
OpenAlex ID: W1983576712
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DOI: 10.2748/TMJ/1178225519
description: scientific article; zbMATH DE number 822821