The K.P. Hypothesis for decomposable Abelian Varieties.
A characterization of hyperelliptic Jacobians.
Algebraic cycles on abelian varieties and their decomposition
For an Abelian Variety , the Künneth decomposition of the rational equivalence class of the diagonal gives rise to explicit formulas for the projectors associated to Beauville's decomposition (1) of the Chow ring , in terms of push-forward and pull-back of -multiplication. We obtain a few simplifications of such formulas, see theorem (4) below, and some related results, see proposition (9) below.
Tautological Cycles on Jacobian Varieties
A Griffiths' Theorem for Varieties with Isolated Singularities
By the fundamental work of Griffiths one knows that, under suitable assumption, homological and algebraic equivalence do not coincide for a general hypersurface section of a smooth projective variety Y. In the present paper we prove the same result in case Y has isolated singularities.
Page 1