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On addition formulae for sigma functions of telescopic curves

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Publication:352533
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DOI10.3842/SIGMA.2013.046zbMath1273.14072arXiv1303.2878OpenAlexW2123488060MaRDI QIDQ352533

Takanori Ayano, Atsushi Nakayashiki

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2878


zbMATH Keywords

Riemann surfacetau functionSchur functionsigma functiontelescopic curvegap sequence


Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Relationships between algebraic curves and integrable systems (14H70) 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 Jacobi inversion formulae for telescopic curves ⋮ Periods of second kind differentials of $(n,s)$-curves ⋮ One Step Degeneration of Trigonal Curves and Mixing of Solitons and Quasi-Periodic Solutions of the KP Equation ⋮ Klein's fundamental 2-form of second kind for the \(C_{ab}\) curves ⋮ Sato Grassmannian and degenerate sigma function




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