The motive of a smooth Theta divisor

2016/03/14 by Humberto A. Diaz, Diaz, Humberto A.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1603.04345

arxiv created 2016/03/14 · arxiv updated 2016/03/15

Abstract

We prove a motivic version of the Lefschetz hyperplane theorem for a smooth ample divisor Θ on an Abelian variety. We use this to construct a motive P that realizes the primitive cohomology of Θ.

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