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29 March 2024
 
  » arxiv » 1308.5901

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Torus equivariant D-modules and hypergeometric systems
Christine Berkesch Zamaere ; Laura Felicia Matusevich ; Uli Walther ;
Date 27 Aug 2013
AbstractWe formalize, at the level of D-modules, the notion that A-hypergeometric systems are equivariant versions of the classical hypergeometric equations. For this purpose, we construct a functor on a suitable category of torus equivariant D-modules and show that it preserves key properties, such as holonomicity, regularity, and reducibility of monodromy representation. We also examine its effect on solutions, characteristic varieties, and singular loci. When applied to certain binomial D-modules, our functor produces saturations of the classical hypergeometric differential equations, a fact that sheds new light on the D-module theoretic properties of these classical systems.
Source arXiv, 1308.5901
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