σ-functions of (n,s)-curves

DOI10.1070/rm1999v054n03ABEH000157zbMath1081.14519OpenAlexW1998078688MaRDI QIDQ4501451

Viktor Z.Enol'skij, Victor M. Buchstaber, Dmitry Leykin

Publication date: 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1999v054n03abeh000157

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Relationships between algebraic curves and integrable systems (14H70) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

Related Items (10)

Hyperelliptic sigma functions and Adler-Moser polynomials ⋮ Division polynomials and canonical local heights on hyperelliptic Jacobians ⋮ DIFFERENTIAL STRUCTURE OF ABELIAN FUNCTIONS ⋮ THE SIGMA FUNCTION FOR WEIERSTRASS SEMIGROUPS 〈3, 7, 8〉 AND 〈6, 13, 14, 15, 16〉 ⋮ The sigma function for trigonal cyclic curves ⋮ Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\). II ⋮ Sigma functions for telescopic curves ⋮ Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\) ⋮ Addition formulae for Abelian functions associated with specialized curves ⋮ Triangular Schlesinger systems and superelliptic curves

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