On Jacobian group arithmetic for typical divisors on curves

DOI10.1007/s40993-018-0101-6zbMath1422.14063arXiv1310.6324OpenAlexW3103255258MaRDI QIDQ2316147

Kamal Khuri-Makdisi

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6324

zbMATH Keywords

Jacobiandivisorcurvegroup

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05)

Related Items (1)

Divisor class group arithmetic on C3,4 curves

Cites Work

• Group arithmetic in \(C_{3,5}\) curves
• Fast Jacobian Group Operations for C_3,4 Curves over a Large Finite Field
• Fast addition on non-hyperelliptic genus 3 curves
• Asymptotically fast group operations on Jacobians of general curves
• Linear algebra algorithms for divisors on an algebraic curve
• Upper bounds for some Brill–Noether loci over a finite field
• The arithmetic of Jacobian groups of superelliptic cubics
• Algorithmic Number Theory
• Public Key Cryptography – PKC 2004

This page was built for publication: On Jacobian group arithmetic for typical divisors on curves