Abelian functions associated with genus three algebraic curves

DOI10.1112/S1461157010000355zbMath1304.14042arXiv1008.0289WikidataQ62735766 ScholiaQ62735766MaRDI QIDQ5169587

Eilbeck, J. C., Yoshihiro Ônishi, Matthew England

Publication date: 11 July 2014

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

Full work available at URL: https://arxiv.org/abs/1008.0289

zbMATH Keywords

hyperelliptic curvestrigonal curvestheta divisorgenus threeAbelian functionsaddition formulae

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (5)

On regularization of second kind integrals ⋮ Generalised elliptic functions ⋮ On the equivariant algebraic Jacobian for curves of genus two ⋮ A generalization of Baker's quadratic formulae for hyperelliptic \(\wp\)-functions ⋮ Deriving bases for abelian functions

Cites Work

• On algebraic expressions of sigma functions for (\(n, s\)) curves
• 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
• Unnamed Item

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