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dc.contributor.authorÁlvarez Montaner, Josep
dc.contributor.authorJiménez, Francisco Jesús Castro
dc.contributor.authorEnríquez, José María Ucha
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractWe describe an algorithm deciding if the annihilating ideal of the meromorphic function 1 f , where f = 0 defines an arrangement of hyperplanes, is generated by linear differential operators of order 1. The algorithm is based on the comparison of two characteristic cycles and uses a combinatorial description due to `Alvarez-Montaner, Garc´ıa–L´opez and Zarzuela of the characteristic cycle of the D-module of meromorphic functions with respect to f.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshAnalytic spaces
dc.subject.lcshGeometry, Algebraic
dc.subject.lcshDifferential algebra
dc.subject.otherCharacteristic cycle
dc.subject.otherHyperplane arrangements
dc.subject.otherLogarithmic D-modules
dc.titleLocalizations at hyperplane arrangements: combinatorics and D-modules
dc.subject.lemacEspais analítics
dc.subject.lemacGeometria algèbrica
dc.subject.lemacÀlgebra diferencial
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::14 Algebraic geometry::14B Local theory
dc.subject.amsClassificació AMS::13 Commutative rings and algebras::13N Differential algebra
dc.subject.amsClassificació AMS::32 Several complex variables and analytic spaces::32C Analytic spaces
dc.rights.accessOpen Access
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