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].
Type de document :
Article dans une revue
Algebraic Geometry, Foundation Compositio Mathematica, In press
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01420347
Contributeur : Wieslawa Niziol
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Soumis le : mardi 20 décembre 2016 - 14:39:00
Dernière modification le : lundi 18 décembre 2017 - 16:42:01
Document(s) archivé(s) le : mardi 21 mars 2017 - 01:17:57
