Relationship between the prime form and the sigma function for some cyclic (r,s) curves

DOI10.1088/1751-8113/46/17/175203zbMath1267.14055arXiv1204.3747OpenAlexW1973366101MaRDI QIDQ4923823

Yoshihiro Ônishi, Shigeki Matsutani, John Gibbons

Publication date: 27 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3747

zbMATH Keywords

Riemann surfacessigma functionprime formTheta-functions

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Theta functions and abelian varieties (14K25) Riemann surfaces; Weierstrass points; gap sequences (14H55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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The \(\operatorname{al}\) function of a cyclic trigonal curve of genus three ⋮ Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\). II ⋮ Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images

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