Chow motives of universal families over some Shimura surfaces
classification
🧮 math.AG
math.NT
keywords
familiesproveshimurasomeuniversalabelianabsolutechow
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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.
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