Singularities and holonomicity of binomial D-modules
Algebraic Geometry
2014-03-06 v2 Commutative Algebra
Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1308.5898,
title = {Singularities and holonomicity of binomial D-modules},
author = {Christine Berkesch Zamaere and Laura Felicia Matusevich and Uli Walther},
journal= {arXiv preprint arXiv:1308.5898},
year = {2014}
}
Comments
12 pages. A gap in the previous version is closed through new arguments