The Syntomic Regulator for K2 of Curves with Arbitrary Reduction

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Abstract

We give a formula for the syntomic regulator on K2 of a proper curve X over a p-adic field K. This generalizes the results of [Bes00c] where the curve was assumed to have good reduction. The formula is essentially the same with Coleman integration replaced by by Vologodsky integration.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherBirkhauser
Pages75-89
Number of pages15
DOIs
StatePublished - 1 Jan 2021

Publication series

NameProgress in Mathematics
Volume338
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Keywords

  • algebraic Ktheory
  • p-adic cohomology
  • p-adic integration
  • regulators
  • syntomic cohomology

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