A solution of the Schottky-Type problem for curves with automorphisms
Algebraic Geometry
2016-08-16 v1
Abstract
In this paper, an explicit hierarchy of differential equations for the -functions defining the moduli space of curves with automorphisms as a subscheme of the Sato Grassmannian is obtained. The Schottky problem for Riemann surfaces with automorphisms consists of characterizing those p.p.a.v. that are Jacobian varieties of a curve with a non-trivial automorphism. A characterization in terms of hierarchies of p.d.e. for theta functions is also given.
Cite
@article{arxiv.math/0506194,
title = {A solution of the Schottky-Type problem for curves with automorphisms},
author = {E. Gómez and J. M. Muñoz and F. J. Plaza and S. Recillas and R. E. Rodríguez},
journal= {arXiv preprint arXiv:math/0506194},
year = {2016}
}