Article
On irregular binomial D-modules
Author/s | Fernández Fernández, María Cruz
Castro Jiménez, Francisco Jesús |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2012-12 |
Deposit Date | 2016-06-08 |
Published in |
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Abstract | We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated primes of I determined by the parameter vector β ∈ Cd are homogeneous. We further describe the slopes of MA(I, β) along a ... We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated primes of I determined by the parameter vector β ∈ Cd are homogeneous. We further describe the slopes of MA(I, β) along a coordinate subspace in terms of the known slopes of some related hypergeometric D–modules that also depend on β. When the parameter β is generic, we also compute the dimension of the generic stalk of the irregularity of MA(I, β) along a coordinate hyperplane and provide some remarks about the construction of its Gevrey solutions. |
Project ID. | MTM2007-64509
MTM2010-19336 FQM333 |
Citation | Fernández Fernández, M.C. y Castro Jiménez, F.J. (2012). On irregular binomial D-modules. Mathematische Zeitschrift, 272 (3), 1321-1337. |
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