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].
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01420347
Contributor : Wieslawa Niziol
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Submitted on : Tuesday, December 20, 2016 - 2:39:00 PM
Last modification on : Monday, December 18, 2017 - 4:42:01 PM
Long-term archiving on : Tuesday, March 21, 2017 - 1:17:57 AM
