Systems of parameters and holonomicity of A-hypergeometric systems

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].

References in corpus (1)

• Irregularity of hypergeometric systems via slopes along coordinate subspaces

Cited by in corpus (2)

• Algebraic aspects of hypergeometric differential equations
• Hypergeometric Hodge modules