NORTHEASTERNUNIVERSITY
MATHEMATICSDEPARTMENT


Geometry-Algebra-Singularities-Combinatorics 
Seminar

 
Chern classes of Gauss-Manin Bundles of weight one vanish

 

Eckart Viehweg

(University of Essen, Germany)



 
 
 

Northeastern University

511 Lake Hall

1:30 p.m., Monday, April 29, 2001

 
 
 

Abstract: Report on a recent article (joint work with Hélène Esnault) on the vanishing in CH(Y)Q of the even higher chern classes of the sheaf f*W¹X/Y(logD), for families of abelian varieties f:X ® Y:

Let H ¹ be a variation of polarized  pure Hodge structures of weight 1, with unipotent local monodromies along the components of T, and let H ¹ be its Deligne extension. Then ch(H ¹)ÎCH0( S)Q
 


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