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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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1432-1823

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On irregular binomial Emphasis Type="Italic"D/E

Authors: MaríaCruz FernándezFernández FranciscoJesús CastroJiménez
Publish Date: 2012/02/09
Volume: 272, Issue: 3-4, Pages: 1321-1337
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Abstract

We prove that a holonomic binomial Dmodule M A I β is regular if and only if certain associated primes of I determined by the parameter vector betain mathbbCd are homogeneous We further describe the slopes of M A I β along a coordinate subspace in terms of the known slopes of some related hypergeometric Dmodules that also depend on β When the parameter β is generic we also compute the dimension of the generic stalk of the irregularity of M A I β along a coordinate hyperplane and provide some remarks about the construction of its Gevrey solutionsPartially supported by MTM201019336 and FEDER and Junta de Andalucía under grants FQM5849 FQM333 MCFF supported by a grant from Iceland Liechtenstein and Norway through the EEA Financial Mechanism Supported and coordinated by Universidad Complutense de Madrid

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  12. On the measures of large entropy on a positive closed current
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  21. On Hörmander’s solution of the $$\bar{\partial }$$-equation. I
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  29. Saturated fusion systems over $$\mathcal {A}_2$$-groups
  30. Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature
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