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Operations with regular holonomic D-modules with support a normal crossing
Álvarez Montaner, Josep
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
The aim of this work is to describe some operations in the category of regular holonomic $\cD$-modules with support a normal crossing and variation zero introduced in [J.Alvarez Montaner, R.Garcia Lopez and S.Zarzuela, "Local cohomology, arrangements of subspaces and monomial ideals ", Adv. in Math. 174 (2003), 35--56]. These operations will allow us to compute the characteristic cycle of the local cohomology supported on homogeneous prime ideals of these modules. In particular, we will be able to describe their Bass and dual Bass numbers.
Rings (Algebra)
Analytic continuation
D-modules
Bass numbers
Mòduls (Àlgebra)
Ideals (Àlgebra)
Espais analítics
Classificació AMS::32 Several complex variables and analytic spaces::32D Analytic continuation
Classificació AMS::16 Associative rings and algebras::16D Modules, bimodules and ideals
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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