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Article overview
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Torus equivariant D-modules and hypergeometric systems | Christine Berkesch Zamaere
; Laura Felicia Matusevich
; Uli Walther
; | Date: |
27 Aug 2013 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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