Resonance equals reducibility for A-hypergeometric systems

Details Resonance equals reducibility for A-hypergeometric systems Resonance equals reducibility for A-hypergeometric systems

2010-09-18

arxiv.org/abs/1009.3569v2

Mathematics

Algebraic Geometry

8 pages, revised and extended version, removed positivity hypothesis

Scientific paper

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.

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