Chow motives of universal families over some Shimura surfaces

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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.
18 pages, typos and enlarged introduction

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Algebraic Geometry, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/155293

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.4209
 http://arxiv.org/abs/0710.4209

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arXiv