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Journal Articles Algebraic Geometry Year : 2017

SYNTOMIC COHOMOLOGY AND p-ADIC MOTIVIC COHOMOLOGY

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Wieslawa Niziol
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Abstract

We prove a mixed characteristic analog of the Beilinson-Lichtenbaum Conjecture for p-adic motivic cohomology. It gives a description, in the stable range, of p-adic motivic cohomology (defined using algebraic cycles) in terms of differential forms. This generalizes a result of Geisser [10] from small Tate twists to all twists and uses as a critical new ingredient the comparison theorem between syntomic complexes and p-adic nearby cycles proved recently in [8].
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ensl-01420347 , version 1 (20-12-2016)

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  • HAL Id : ensl-01420347 , version 1

Cite

Veronika Ertl, Wieslawa Niziol. SYNTOMIC COHOMOLOGY AND p-ADIC MOTIVIC COHOMOLOGY. Algebraic Geometry, In press. ⟨ensl-01420347⟩

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