4 papers · 1 filter
Sigma function associated with a hyperelliptic curve with two points at infinity
Takanori Ayano, Victor M. Buchstaber
Baker constructed basic meromorphic functions on the Jacobian variety of a hyperelliptic curve with two points at infinity. We call them Baker functions. The construction is based…
Reduction of bielliptic hyperelliptic functions of genus 3
Takanori Ayano
The present paper is devoted to the problem about the reduction of hyperelliptic functions of genus 3. Our research was motivated by applications to the theory of equations and dyn…
The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications
Takanori Ayano, Victor Buchstaber
The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus is described in terms of the gradient of it's sigma function. Solutions of corresponding…
Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3
Takanori Ayano, Victor Buchstaber
Buchstaber and Mikhailov introduced the polynomial dynamical systems in with two polynomial integrals on the basis of commuting vector fields on the symmetric square…