La conjecture de Tate entière pour les cubiques de dimension quatre

François Charles; Alena Pirutka

doi:10.1112/S0010437X14007386

La conjecture de Tate entière pour les cubiques de dimension quatre

François Charles, Alena Pirutka

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the integral Tate conjecture for cycles of codimension 2 on smooth cubic fourfolds over an algebraic closure of a field finitely generated over its prime subfield and of characteristic different from 2 or 3. The proof relies on the Tate conjecture with rational coefficients, proved in that setting by the first author, and on an argument of Voisin coming from complex geometry.

Original language	French
Pages (from-to)	253-264
Number of pages	12
Journal	Compositio Mathematica
Volume	151
Issue number	2
DOIs	https://doi.org/10.1112/S0010437X14007386
State	Published - Feb 25 2015

Keywords

conjecture de Tate
cubique de dimension 4
fonction normale
jacobienne intermédiaire

ASJC Scopus subject areas

Algebra and Number Theory

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10.1112/S0010437X14007386

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La conjecture de Tate entière pour les cubiques de dimension quatre

Abstract

Keywords

ASJC Scopus subject areas

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