The Syntomic Regulator for K2 of Curves with Arbitrary Reduction

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations


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
Number of pages15
StatePublished - 1 Jan 2021

Publication series

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


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

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


Dive into the research topics of 'The Syntomic Regulator for K2 of Curves with Arbitrary Reduction'. Together they form a unique fingerprint.

Cite this