1. Systems of parameters and holonomicity of A-hypergeometric systems
- Author
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Stephen Griffeth, Christine Berkesch Zamaere, and Ezra Miller
- Subjects
Holonomic ,General Mathematics ,010102 general mathematics ,Commutative Algebra (math.AC) ,Mathematics - Commutative Algebra ,Differential operator ,01 natural sciences ,Hypergeometric distribution ,Algebra ,Mathematics - Algebraic Geometry ,0103 physical sciences ,FOS: Mathematics ,Computer Science::Symbolic Computation ,010307 mathematical physics ,0101 mathematics ,Algebraic Geometry (math.AG) ,Mathematics - 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].
- Published
- 2015
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