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Computing Local p-adic Height Pairings on Hyperelliptic Curves

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Publication:2911496
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DOI10.1093/imrn/rnr111zbMath1284.11097arXiv1010.6009OpenAlexW2963068881MaRDI QIDQ2911496

Jennifer S. Balakrishnan, Amnon Besser

Publication date: 31 August 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.6009


zbMATH Keywords

local componentColeman integralColeman-Gross \(p\)-adic height pairing


Mathematics Subject Classification ID

Heights (11G50)


Related Items (8)

Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves ⋮ Explicit Vologodsky integration for hyperelliptic curves ⋮ Quadratic Chabauty for modular curves: algorithms and examples ⋮ Geometric quadratic Chabauty and \(p\)-adic heights ⋮ Computing integral points on hyperelliptic curves using quadratic Chabauty ⋮ Quadratic Chabauty and rational points. I: \(p\)-adic heights ⋮ A $p$-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties ⋮ Explicit arithmetic intersection theory and computation of Néron-Tate heights


Uses Software

  • SageMath



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