The syntomic regulator for K4 of curves

Amnon Besser, Rob de Jeu

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Let C be a curve defined over a complete discrete valuation subfield of Cp. Assuming that C has good reduction over the residue field, we compute the syntomic regulator on a certain part of K(3) 4 (C). The result can be expressed in terms of p-adic polylogarithms and Coleman integration. We also compute the syntomic regulator on a certain part of K(3) 4 (F) or the function field F of C. The result can be expressed in terms of p-adic polylogarithms and Coleman integration, or byusing a trilinear map ("triple index") on certain functions.

Original languageEnglish
Pages (from-to)305-380
Number of pages76
JournalPacific Journal of Mathematics
Volume260
Issue number2
DOIs
StatePublished - 1 Dec 2012

Keywords

  • Algebraic K-theory
  • Syntomic regulator
  • p-adic polylogarithm

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