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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Abel-Jacobi map, integral Hodge classes and decomposition of the diagonal

## Abel-Jacobi map, integral Hodge classes and decomposition of the diagonalAdd to your list(s) Download to your calendar using vCal - Voisin, C (Jussieu)
- Thursday 28 April 2011, 14:00-15:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Moduli Spaces Given a smooth projective $3$-fold $Y$, with $H^{3,0}(Y)=0$, the Abel-Jacobi map induces a morphism from each smooth variety parameterizing $1$-cycles in $Y$ to the intermediate Jacobian $J(Y)$. We consider in this talk the existence of families of $1$-cycles in $Y$ for which this induced morphism is surjective with rationally connected general fiber, and various applications of this property. When $Y$ itself is uniruled, we relate this property to the existence of an integral homological decomposition of the diagonal of $Y$. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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