A point counting algorithm for cyclic covers of the projective line

DOI10.1090/conm/637/12754zbMath1343.14016arXiv1408.2095OpenAlexW4301353030MaRDI QIDQ2811791

Cécile Gonçalves

Publication date: 10 June 2016

Published in: Algorithmic Arithmetic, Geometry, and Coding Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2095

zbMATH Keywords

algebraic geometrynumber theory\(p\)-adic precisioncyclic coverpoint counting

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Rational points (14G05) Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (3)

Computing zeta functions of cyclic covers in large characteristic ⋮ Explicit Coleman integration in larger characteristic ⋮ Counting points on superelliptic curves in average polynomial time

Uses Software

• Magma

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