An Arakelov-theoretic approach to naïve heights on hyperelliptic Jacobians

zbMath1338.11059arXiv1207.5948MaRDI QIDQ2339288

David Holmes

Publication date: 31 March 2015

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5948

zbMATH Keywords

hyperelliptic curveNéron-Tate heightArakelov theorylocal Néron pairing

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves ⋮ Explicit arithmetic intersection theory and computation of Néron-Tate heights

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