Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584242 | Journal of Algebra | 2015 | 13 Pages |
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 is an equivalence of holonomicity and L-holonomicity for these systems. The second refines the first by giving more detailed information about the L-characteristic variety of a non-holonomic binomial D-module. The final characterization states that a binomial D-module is holonomic if and only if its corresponding singular locus is proper.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Christine Berkesch Zamaere, Laura Felicia Matusevich, Uli Walther,