Logarithmic A-hypergeometric series
Algebraic Geometry
2019-12-05 v2 Combinatorics
Abstract
The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point. In the classical case, when the roots of the indicial polynomial are separated by an integer, logarithmic solutions can be constructed by means of perturbation of a root. The method for a regular A-hypergeometric system is a theme of the book by Saito, Sturmfels, and Takayama. Whereas they perturbed a parameter vector to obtain logarithmic A-hypergeometric series solutions, we adopt a different perturbation in this paper.
Keywords
Cite
@article{arxiv.1912.00593,
title = {Logarithmic A-hypergeometric series},
author = {Mutsumi Saito},
journal= {arXiv preprint arXiv:1912.00593},
year = {2019}
}
Comments
20 pages, 3 figures