Explicit Coleman Integration for Hyperelliptic Curves

DOI10.1007/978-3-642-14518-6_6zbMATH Open1261.14011arXiv1004.4936OpenAlexW1523736768MaRDI QIDQ4931637

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Publication date: 29 September 2010

Published in: (Search for Journal in Brave)

Abstract: Coleman's theory of p-adic integration figures prominently in several number-theoretic applications, such as finding torsion and rational points on curves, and computing p-adic regulators in K-theory (including p-adic heights on elliptic curves). We describe an algorithm for computing Coleman integrals on hyperelliptic curves, and its implementation in Sage.

Full work available at URL: https://arxiv.org/abs/1004.4936

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