\(p\)-adic heights and Vologodsky integration

DOI10.1016/j.jnt.2021.12.005OpenAlexW4210650433WikidataQ114156620 ScholiaQ114156620MaRDI QIDQ2672003

Amnon Besser

Publication date: 8 June 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06957

zbMATH Keywords

Coleman integration\(p\)-adic height pairingssemi stable reductionvologodsky integration

Mathematics Subject Classification ID

Galois cohomology (11S25) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Curves over finite and local fields (11G20) de Rham cohomology and algebraic geometry (14F40) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Rigid analytic geometry (14G22)

Related Items (3)

Explicit Vologodsky integration for hyperelliptic curves ⋮ Geometric quadratic Chabauty and \(p\)-adic heights ⋮ Vologodsky integration on curves with semi-stable reduction

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