On regularization of second kind integrals

DOI10.3842/SIGMA.2018.074zbMath1398.30041arXiv1709.10167OpenAlexW2760410354MaRDI QIDQ1654169

Dmitry Leykin, J. N. Bernatska

Publication date: 7 August 2018

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

Full work available at URL: https://arxiv.org/abs/1709.10167

zbMATH Keywords

Weierstrass pointnon-hyperelliptic \((n,s)\)-curvessecond-kind integrals

Mathematics Subject Classification ID

Riemann surfaces; Weierstrass points; gap sequences (14H55) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (1)

Solution of the Jacobi inversion problem on non-hyperelliptic curves

Cites Work

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• Klein's fundamental 2-form of second kind for the \(C_{ab}\) curves
• On algebraic expressions of sigma functions for (\(n, s\)) curves
• Integrals of the second kind on an algebraic variety
• Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves
• Rational analogues of Abelian functions.
• Heat equations in a nonholomic frame
• Abelian functions associated with genus three algebraic curves
• Abelian Functions for Trigonal Curves of Genus Three
• Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations

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