Chow motives of universal families over some Shimura surfaces

Details Chow motives of universal families over some Shimura surfaces Chow motives of universal families over some Shimura surfaces

2007-10-23

arxiv.org/abs/0710.4209v2

Mathematics

Algebraic Geometry

18 pages, typos and enlarged introduction

Scientific paper

We prove an absolute Chow-Kuenneth decomposition for the motive of universal
families A of abelian varieties over some compact Shimura surface. We
furthermore prove the Hodge conjecture for general fibres of A, extending
results of Ribet.

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