Singularities and holonomicity of binomial D-modules

Understand

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.