Differentiation of Abelian functions with respect to parameters

DOI10.1070/RM2007v062n04ABEH004437zbMath1152.14044OpenAlexW2062975297MaRDI QIDQ5387163

Dmitry Leykin, Victor M. Buchstaber

Publication date: 7 May 2008

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

Full work available at URL: https://doi.org/10.1070/rm2007v062n04abeh004437

zbMATH Keywords

period matrixfamily of curvesabelian functionssigma-functionmeromorphic vector fieldbasis differentials of the first kindcovariant shift operatorsentire algebraic functionhyperelliptic ring

Mathematics Subject Classification ID

General properties of functions of one complex variable (30A99) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Differentials on Riemann surfaces (30F30)

Related Items (5)

Hyperelliptic sigma functions and Adler-Moser polynomials ⋮ Lie algebras of heat operators in a nonholonomic frame ⋮ Polynomial dynamical systems and the Korteweg-de Vries equation ⋮ Sigma functions and Lie algebras of Schrödinger operators ⋮ On the problem of differentiation of hyperelliptic functions

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