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arXiv · 1009.3569

Resonance equals reducibility for A-hypergeometric systems

Mathias Schulze·Uli Walther
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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.

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Mathias Schulze, Uli Walther. 2012-07-12. Resonance equals reducibility for A-hypergeometric systems. https://doi.org/10.2140/ant.2012.6.527

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