63 citations · 197 across the 18 of their papers we have counts for
4 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…
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…
Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
V. Z. Enolski, Yu. N. Fedorov
For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genu…
Generic hyperelliptic Prym varieties in a generalized Henon-Heiles system
V. Z. Enolski, Yu. N. Fedorov, A. N. W. Hone
It is known that the Jacobian of an algebraic curve which is a 2-fold covering of a hyperelliptic curve ramified at two points contains a hyperelliptic Prym variety. Its explicit a…