Logarithm-free A-hypergeometric series
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
We give a dimension formula for the space of logarithm-free series solutions to an A-hypergeometric (or a GKZ hypergeometric) system. In the case where the convex hull spanned by A is a simplex, we give a rank formula for the system, characterize the exceptional set, and prove the equivalence of the Cohen-Macaulayness of the toric variety defined by A with the emptiness of the exceptional set. Furthermore we classify A-hypergeometric systems as analytic D-modules.
Cite
@article{arxiv.math/0012257,
title = {Logarithm-free A-hypergeometric series},
author = {Mutsumi Saito},
journal= {arXiv preprint arXiv:math/0012257},
year = {2007}
}
Comments
20 pages, 2 figures, LaTeX2e