Division polynomials and multiplication formulae of Jacobian varieties of dimension 2

DOI10.1017/S0305004105008765zbMath1093.14042OpenAlexW2152068439MaRDI QIDQ3372724

Naoki Kanayama

Publication date: 10 March 2006

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004105008765

zbMATH Keywords

hyperelliptic curveJacobianhyperelliptic functiondivision polynomial

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40)

Related Items

Canonical heights and division polynomials ⋮ Division polynomials and canonical local heights on hyperelliptic Jacobians ⋮ Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences ⋮ Analytic solutions and integrability for bilinear recurrences of order six ⋮ Corrections to “Division polynomials and multiplication formulae in dimension 2” ⋮ Curves, Jacobians, and cryptography