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arXiv · 1302.0048

Systems of parameters and holonomicity of A-hypergeometric systems

Christine Berkesch·Stephen Griffeth·Ezra Miller
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Abstract

The main result is an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, originally due to Adolphson [Ado94] after the regular singular case by Gelfand and Gelfand [GG86]. Our method yields a direct de novo proof that A-hypergeometric systems form holonomic families over their parameter spaces, as shown by Matusevich, Miller, and Walther [MMW05].

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Christine Berkesch, Stephen Griffeth, Ezra Miller. 2013-02-01. Systems of parameters and holonomicity of A-hypergeometric systems. https://doi.org/10.2140/pjm.2015.276.281

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