The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications

DOI10.1007/s10688-017-0181-4zbMath1387.32006arXiv1811.05806OpenAlexW2754667668MaRDI QIDQ1695232

Victor M. Buchstaber, Takanori Ayano

Publication date: 7 February 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05806

zbMATH Keywords

hyperelliptic curvesmeromorphic functionspolynomial dynamical systems

Mathematics Subject Classification ID

Plane and space curves (14H50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of several complex variables (32A20)

Cites Work

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• Elliptic function of level 4
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• Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves
• Complex multiplication formulae for hyperelliptic curves of genus three
• Theta functions on Riemann surfaces
• Rational analogues of Abelian functions.
• Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves
• DETERMINANT EXPRESSIONS FOR HYPERELLIPTIC FUNCTIONS
• THE SIGMA FUNCTION FOR WEIERSTRASS SEMIGROUPS 〈3, 7, 8〉 AND 〈6, 13, 14, 15, 16〉

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