p-adic height pairings on abelian varieties with semistable ordinary reduction

DOI10.1515/crll.2003.089zbMath1168.11314arXivmath/0209362OpenAlexW2963759788MaRDI QIDQ4435755

Adrian Iovita, Annette Werner

Publication date: 18 November 2003

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209362

zbMATH Keywords

\(L\)-functionsde Rham cohomologyabelian varietiesHodge filtrationheightsarithmetic algebraic geometryrigid analytic uniformization\(p\)-adic regulators

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) de Rham cohomology and algebraic geometry (14F40) Rigid analytic geometry (14G22)

Related Items (2)

Height pairings of 1-motives ⋮ The -adic Gross–Zagier formula on Shimura curves

Cites Work

• Unnamed Item

This page was built for publication: p-adic height pairings on abelian varieties with semistable ordinary reduction