Grothendieck trace formula

id: grothendieck-trace-formula-190-7955510
title: Grothendieck trace formula
text: In algebraic geometry, the Grothendieck trace formula expresses the number of points of a variety over a finite field in terms of the trace of the Frobenius endomorphism on its cohomology groups. There are several generalizations: the Frobenius endomorphism can be replaced by a more general endomorphism, in which case the points over a finite field are replaced by its fixed points, and there is also a more general version for a sheaf over the variety, where the cohomology groups are replaced by
brand slug: wiki
category slug: encyclopedia
description: Expresses the number of points of a variety over a finite field
original url: https://en.wikipedia.org/wiki/Grothendieck_trace_formula
date created:
date modified: 2023-03-02T17:42:58Z
main entity: {"identifier":"Q5610732","url":"https://www.wikidata.org/entity/Q5610732"}
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integrity: 14

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