dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Álvarez Montaner, Josep
dc.contributor.author
Jiménez, Francisco Jesús Castro
dc.contributor.author
Enríquez, José María Ucha
dc.identifier
https://hdl.handle.net/2117/940
dc.description.abstract
We 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.format
application/pdf
dc.rights
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights
Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject
Analytic spaces
dc.subject
Geometry, Algebraic
dc.subject
Differential algebra
dc.subject
Characteristic cycle
dc.subject
Hyperplane arrangements
dc.subject
Logarithmic D-modules
dc.subject
Espais analítics
dc.subject
Geometria algèbrica
dc.subject
Àlgebra diferencial
dc.subject
Classificació AMS::14 Algebraic geometry::14B Local theory
dc.subject
Classificació AMS::13 Commutative rings and algebras::13N Differential algebra
dc.subject
Classificació AMS::32 Several complex variables and analytic spaces::32C Analytic spaces
dc.title
Localizations at hyperplane arrangements: combinatorics and D-modules
