Chow Motives of Universal Families over Some Shimura Surfaces

نویسنده

  • ANDREA MILLER
چکیده

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

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تاریخ انتشار 2008