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arXiv · 1308.5898

Singularities and holonomicity of binomial D-modules

Christine Berkesch Zamaere·Laura Felicia Matusevich·Uli Walther
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Abstract

We study binomial D-modules, which generalize A-hypergeometric systems. We determine explicitly their singular loci and provide three characterizations of their holonomicity. The first of these states that a binomial D-module is holonomic if and only if its corresponding singular locus is proper. The second characterization is an equivalence of holonomicity and L-holonomicity for these systems. The third refines the second by giving more detailed information about the L-characteristic variety of a non-holonomic binomial D-module.

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Christine Berkesch Zamaere, Laura Felicia Matusevich, Uli Walther. 2014-03-05. Singularities and holonomicity of binomial D-modules. https://arxiv.org/abs/1308.5898

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