63 citations · 197 across the 18 of their papers we have counts for
3 papers · 1 filter
Multi-variable sigma-functions: old and new results
Victor Buchstaber, Victor Enolski, Dmitry Leykin
We consider multi-variable sigma function of a genus hyperelliptic curve as a function of two group of variables -jacobian variables and parameters of the curve. In the theta-f…
Thomae's Derivative Formulae for Trigonal Curves
Victor Enolski, Yaacov Kopeliovich, Shaul Zemel
In this paper we prove a Thomae derivative formula for trigonal curves admitting a non-singular affine model. This formula relates the derivatives of theta functions with rational…
Sato Grassmannian and Degenerate Sigma Function
Julia Bernatska, Victor Enolski, Atsushi Nakayashiki
The degeneration of the hyperelliptic sigma function is studied. We use the Sato Grassmannian for this purpose. A simple decomposition of a rational function gives a decomposition…