Resonance equals reducibility for A-hypergeometric systems
Algebraic Geometry
2012-07-13 v3
Abstract
Classical theorems of Gel'fand et al., and recent results of Beukers, show that non-confluent Cohen-Macaulay A-hypergeometric systems have reducible monodromy representation if and only if the continuous parameter is A-resonant. We remove both the confluence and Cohen-Macaulayness conditions while simplifying the proof.
Keywords
Cite
@article{arxiv.1009.3569,
title = {Resonance equals reducibility for A-hypergeometric systems},
author = {Mathias Schulze and Uli Walther},
journal= {arXiv preprint arXiv:1009.3569},
year = {2012}
}
Comments
9 pages, final version