Coleman integration for even-degree models of hyperelliptic curves

DOI10.1112/S1461157015000029zbMath1386.11133MaRDI QIDQ5247109

Jennifer S. Balakrishnan

Publication date: 23 April 2015

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curvesColeman integration

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Rigid analytic geometry (14G22)

Related Items (5)

Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties ⋮ Explicit Vologodsky integration for hyperelliptic curves ⋮ Explicit Coleman integration in larger characteristic ⋮ Explicit Coleman integration for curves ⋮ Preperiodic points for quadratic polynomials over cyclotomic quadratic fields

Uses Software

• SageMath

Cites Work

• Unnamed Item
• An extension of Kedlaya's algorithm for hyperelliptic curves
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• Torsion points on curves and p-adic abelian integrals
• Effective Chabauty
• \(p\)-adic regulators on curves and special values of \(p\)-adic \(L\)-functions
• Explicit Coleman Integration for Hyperelliptic Curves

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