p-ADIC HEIGHTS AND VOLOGODSKY INTEGRATION

Research output: Working paper/PreprintPreprint

Abstract

we extend the result of [Bes04] to the case of curves with semistable 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. 11S80, 11G20, 14G40 (Primary) 14G22, 14F40, 11S25 (Secondary)
Original languageEnglish
StatePublished - 18 Nov 2017

Publication series

NamearXiv
ISSN (Print)2331-8422

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