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arXiv · 1607.05673

$CH_{0}$-trivialité universelle d'hypersurfaces cubiques presque diagonales

Jean-Louis Colliot-Thélène
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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 $CH_{0}$-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 $CH_{0}$-trivial : there is an integral Chow decomposition of the diagonal.

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Jean-Louis Colliot-Thélène. 2017-01-09. $CH_{0}$-trivialité universelle d'hypersurfaces cubiques presque diagonales. https://arxiv.org/abs/1607.05673

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