Displaying similar documents to “A result on the integral chow ring of a generic principally polarized complex abelian variety of dimension four”

Algebraic cycles on abelian varieties and their decomposition

Giambattista Marini (2004)

Bollettino dell'Unione Matematica Italiana

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For an Abelian Variety X , the Künneth decomposition of the rational equivalence class of the diagonal Δ X × X gives rise to explicit formulas for the projectors associated to Beauville's decomposition (1) of the Chow ring C H X , in terms of push-forward and pull-back of m -multiplication. We obtain a few simplifications of such formulas, see theorem (4) below, and some related results, see proposition (9) below.