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math.AG2025
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…
math.AG2025
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…
math.AG2024
Hurwitz integrality of the power series expansion of the sigma function for a telescopic curve
Takanori Ayano
A telescopic curve is a certain algebraic curve defined by equations in the affine space of dimension , which can be a hyperelliptic curve and an curve as a specia…