Systems of parameters and holonomicity of A-hypergeometric systems

Christine Berkesch; Ezra Miller; Stephen Griffeth

arxiv: 1302.0048 · v1 · pith:K6OZWKTYnew · submitted 2013-02-01 · 🧮 math.AG · math.AC

Systems of parameters and holonomicity of A-hypergeometric systems

Christine Berkesch , Stephen Griffeth , Ezra Miller This is my paper

classification 🧮 math.AG math.AC

keywords systemsa-hypergeometricgelfandholonomicityproofado94adolphsonbehavior

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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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Systems of parameters and holonomicity of A-hypergeometric systems

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