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# Jie Wang : The primitive cohomology of the theta divisor of an abelian fivefold

The primitive cohomology of the theta divisor of a principally polarized abelian variety of dimension $g$ is a Hodge structure of level $g-3$. The Hodge conjecture predicts that it is contained in the image, under the Abel-Jacobi map, of the cohomology of a family of curves in the theta divisor. In this talk, I will explain how one can use the Prym map to show that this version of the Hodge conjecture is true for the theta divisor of a general abelian fivefold. This is joint work with Izadi and Tam\'as.

**Category**: Algebraic Geometry**Duration**: 01:34:51**Date**: February 5, 2014 at 4:25 PM**Views**: 100-
**Tags:**seminar, Algebraic Geometry Seminar

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