Computing in Picard groups of projective curves over finite fields

DOI10.1090/S0025-5718-2012-02650-0zbMath1336.11049arXiv1003.2563MaRDI QIDQ2840629

Peter Bruin

Publication date: 23 July 2013

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

Full work available at URL: https://arxiv.org/abs/1003.2563

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05)

Related Items (2)

Moduli-friendly Eisenstein series over the \(p\)-adics and the computation of modular Galois representations ⋮ Hensel-lifting torsion points on Jacobians and Galois representations

Cites Work

• Linearizing torsion classes in the Picard group of algebraic curves over finite fields
• Efficient decomposition of associative algebras over finite fields
• On the discrete logarithm problem in class groups of curves
• Asymptotically fast group operations on Jacobians of general curves
• Probabilistic Algorithms in Finite Fields
• A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
• Linear algebra algorithms for divisors on an algebraic curve
• Symmetric Products and Jacobians
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