p-adic heights and Vologodsky integration

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3 Scopus citations

Abstract

We extend the result of [5] to the case of curves with semi-stable reduction. In this case, one can replace Coleman integration by Vologodsky integration to extend the Coleman-Gross definition of a p-adic height pairing. We show that this pairing still equals the one defined by Nekovář.

Original languageEnglish
Pages (from-to)273-297
Number of pages25
JournalJournal of Number Theory
Volume239
DOIs
StatePublished - Oct 2022

Keywords

  • Coleman integration
  • p-adic height pairings
  • Semi stable reduction
  • Vologodsky integration

ASJC Scopus subject areas

  • Algebra and Number Theory

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