Hypergeometric Functions for Projective Toric Curves
Algebraic Geometry
2015-12-03 v2
Abstract
We produce a decomposition of the parameter space of the -hypergeometric system associated to a projective monomial curve as a union of an arrangement of lines and its complement, in such a way that the analytic behavior of the solutions of the system is explicitly controlled within each term of the union.
Cite
@article{arxiv.1412.3957,
title = {Hypergeometric Functions for Projective Toric Curves},
author = {Christine Berkesch Zamaere and Jens Forsgård and Laura Felicia Matusevich},
journal= {arXiv preprint arXiv:1412.3957},
year = {2015}
}
Comments
27 pages and 3 figures. Expanded introduction. Proof of Theorem 2.1 removed, Section 2 merged with the section on resonant parameters. Theorem 3.3 generalized to a space of arbitrary dimension. New Theorem 3.4 and Corollary 3.5. Proposition 4.2 and Corollary 4.3 from version 1 are false, and have been removed. Proposition 4.4 now combines what used to be Corollary 5.3 and Proposition 5.4