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arXiv · 0710.4209

Chow motives of universal families over some Shimura surfaces

Andrea Miller
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Abstract

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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Andrea Miller. 2008-02-22. Chow motives of universal families over some Shimura surfaces. https://arxiv.org/abs/0710.4209

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