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Singularities and holonomicity of binomial D-modules

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.

preprint2014arXivOpen access
Christine Berkesch ZamaereLaura Felicia MatusevichUli Walther
math.ACmath.AGmath.CA
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Christine Berkesch ZamaereLaura Felicia MatusevichUli Walther

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