Email this article The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications
- Authors: Ayano T.1, Buchstaber V.M.2
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Affiliations:
- Faculty of Mathematics, National Research University Higher School of Economics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 51, No 3 (2017)
- Pages: 162-176
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234323
- DOI: https://doi.org/10.1007/s10688-017-0181-4
- ID: 234323
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Abstract
The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 is described in terms of the gradient of its sigma function. As an application, solutions of the corresponding families of polynomial dynamical systems in C4 with two polynomial integrals are constructed. These systems were introduced by Buchstaber and Mikhailov on the basis of commuting vector fields on the symmetric square of algebraic curves.
About the authors
T. Ayano
Faculty of Mathematics, National Research University Higher School of Economics
Author for correspondence.
Email: tayano7150@gmail.com
Russian Federation, Moscow
V. M. Buchstaber
Steklov Mathematical Institute of Russian Academy of Sciences
Email: tayano7150@gmail.com
Russian Federation, Moscow
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