DIFFERENTIAL STRUCTURE OF ABELIAN FUNCTIONS

DOI10.1142/S0129167X08004595zbMath1165.14034arXivmath/0604267OpenAlexW2159881940MaRDI QIDQ3520459

Koji Cho, Atsushi Nakayashiki

Publication date: 26 August 2008

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

Full work available at URL: https://arxiv.org/abs/math/0604267

zbMATH Keywords

theta functionprincipally polarized abelian varietyJacobian varieties of hyperelliptic curves and non-hyperelliptic curvesmodule over of ring of differential operators

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Relationships between algebraic curves and integrable systems (14H70)

Related Items (4)

Generalised elliptic functions ⋮ On hyperelliptic abelian functions of genus 3 ⋮ Addition formulae for Abelian functions associated with specialized curves ⋮ Deriving bases for abelian functions

Cites Work

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• Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Rational analogues of Abelian functions.
• σ-functions of (n,s)-curves
• Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations
• Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems

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