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arxiv: 1301.4022 · v3 · pith:RBOY2A7Znew · submitted 2013-01-17 · 🧮 math.AG · math.NT

La conjecture de Tate enti\`ere pour les cubiques de dimension quatre

classification 🧮 math.AG math.NT
keywords conjecturedimensiontatealgebraicclassesclosurecubiccubiques
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We prove the Tate conjecture for integral degree 4 classes on a smooth cubic hypersurface X of dimension 4 over an algebraic closure of a field finitely generated over its prime subfield.

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