The p-adic height pairings of Coleman-Gross and of Nekovar

2002/09/01 by Amnon Besser, Besser, Amnon
Mathematics · #11G25 (Secondary) #11G30 (Primary) 14F30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.AG #math.NT #msc:11G25 #msc:11G30 #msc:14F30

paper · pdf · doi:10.48550/arxiv.math/0209006

12 oages, Latex2e with amsart class, xypic

arxiv created 2002/09/01 · openalex publication_date 2002/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the p-adic height pairing of Nekovar, considered for algebraic curves, gives the p-adic height pairing of Coleman and Gross, defined using Coleman integration.

Related

• p-adic heights and Vologodsky integration
• Computing local p-adic height pairings on hyperelliptic curves
• Coleman-Gross height pairings and the p-adic sigma function
• Computing p-adic heights on hyperelliptic curves
• Explicit Coleman integration for hyperelliptic curves