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Systems of parameters and holonomicity of A-hypergeometric systems
Published 1 Feb 2013 in math.AG and math.AC | (1302.0048v1)
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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