SYNTOMIC COHOMOLOGY AND p-ADIC MOTIVIC COHOMOLOGY - ENS de Lyon - École normale supérieure de Lyon Access content directly
Journal Articles Algebraic Geometry Year : 2017

SYNTOMIC COHOMOLOGY AND p-ADIC MOTIVIC COHOMOLOGY

Wieslawa Niziol
  • Function : Author
  • PersonId : 996766

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].
Fichier principal
Vignette du fichier
syntomic-motivic3.pdf (289.54 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

ensl-01420347 , version 1 (20-12-2016)

Identifiers

  • HAL Id : ensl-01420347 , version 1

Cite

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

Collections

ENS-LYON INSMI UDL
132 View
299 Download

Share

Gmail Facebook Twitter LinkedIn More