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SUMMARY:Abel-Jacobi map\, integral Hodge classes and decomposition of the 
 diagonal - Voisin\, C (Jussieu)
DTSTART:20110428T130000Z
DTEND:20110428T140000Z
UID:TALK31018@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Given a smooth projective $3$-fold $Y$\, with $H^{3\,0}(Y)=0$\
 , the Abel-Jacobi map induces a morphism from each smooth variety paramete
 rizing $1$-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 fib
 er\, and various applications of this property. When $Y$ itself is unirule
 d\, we relate this property to the existence of an integral  homological d
 ecomposition of the diagonal of $Y$.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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