Sur l'anneau de Chow d'une variété abélienne
Let A be an abelian variety and CH(A) its Chow ring. In the \({\mathbb{Q}}\)-vector space \(CH(A)\otimes_{{\mathbb{Z}}}{\mathbb{Q}}\), the operators \(k^*\) (for \(k\in {\mathbb{Z}})\) can be simultaneously diagonalized. We describe geometrically some of the eigenspaces, and give an application to the study of algebraic cycles on an abelian threefold.
algebraic cycles on an abelian threefold
scientific article; zbMATH DE number 3902800