CH₀-trivialité universelle d'hypersurfaces cubiques presque diagonales

2016/07/19 by Jean-Louis Colliot-Thélène, Colliot-Thélène, Jean-Louis · 2 citations
Mathematics · #14E08 #14M20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1607.05673

openalex publication_date 2016/07/19 · openalex created_date 2017/02/03 · openalex updated_date 2026/07/28

Abstract

Toute hypersurface cubique lisse complexe de dimension au moins 2 dont l'équation est donnée par l'annulation d'une somme de formes cubiques à variables séparées, chaque forme impliquant au plus trois variables, est universellement CH₀-triviale. --- If a smooth cubic hypersurface of dimension at least 2 is defined by the vanishing of a sum of cubic forms in independent variables and each of these forms involves at most 3 variables, then the cubic hypersurface is universally CH₀-trivial : there is an integral Chow decomposition of the diagonal.

Cited by

• Rational cubic fourfolds with a symplectic group of automorphisms
• Nonrational varieties with unirational parametrizations of coprime degrees

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