p-adic Integration on Bad Reduction Hyperelliptic Curves

DOI10.1093/imrn/rnaa272OpenAlexW3094895574MaRDI QIDQ5071153

Enis Kaya, Eric Katz

Publication date: 20 April 2022

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

Full work available at URL: https://arxiv.org/abs/2003.03400

zbMATH Keywords

hyperelliptic curvesbad reduction\(p\)-adic integralsBerkovich-Coleman integrals

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Curves over finite and local fields (11G20) Local ground fields in algebraic geometry (14G20) Set functions and measures on spaces with additional structure (28C99)

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Explicit Vologodsky integration for hyperelliptic curves

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