2013/08/27 by Zamaere, Christine Berkesch, Matusevich, Laura Felicia, Walther, Uli
#14B05 #14M25 #32C38 #33C70 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1308.5898
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.