Operations with regular holonomic D-modules with support a normal crossing
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...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/843 |
| Acceso en línea: | https://hdl.handle.net/2117/843 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 |
| Sumario: | 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. |
|---|