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CONSERVATIVITY OF REALIZATION FUNCTORS ON MOTIVES OF ABELIAN TYPE OVER FINITE FIELDS

Abstract : We show that the l-adic realization functor is conservative when restricted to Chow motives of abelian type over a finite field. A weak version of this conservativity result extends to mixed motives of abelian type.
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https://hal.archives-ouvertes.fr/hal-02933729
Contributor : Giuseppe Ancona <>
Submitted on : Tuesday, September 8, 2020 - 5:14:14 PM
Last modification on : Tuesday, September 15, 2020 - 3:36:49 AM

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  • HAL Id : hal-02933729, version 1

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Giuseppe Ancona. CONSERVATIVITY OF REALIZATION FUNCTORS ON MOTIVES OF ABELIAN TYPE OVER FINITE FIELDS. Motives and Complex multiplication, Aug 2016, Ascona, Switzerland. ⟨hal-02933729⟩

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