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...

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Detalhes bibliográficos
Autor: Álvarez Montaner, Josep|||0000-0001-6793-368X
Formato: artículo
Fecha de publicación:2003
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/843
Acesso em linha:https://hdl.handle.net/2117/843
Access Level:acceso abierto
Palavra-chave: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
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spelling Operations with regular holonomic D-modules with support a normal crossingÁlvarez Montaner, Josep|||0000-0001-6793-368XRings (Algebra)Analytic continuationD-modulesBass numbersMòduls (Àlgebra)Ideals (Àlgebra)Espais analíticsClassificació AMS::32 Several complex variables and analytic spaces::32D Analytic continuationClassificació AMS::16 Associative rings and algebras::16D Modules, bimodules and idealsThe 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.20032003-01-0120072007-05-02journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/843reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/8432026-05-27T15:37:01Z
dc.title.none.fl_str_mv Operations with regular holonomic D-modules with support a normal crossing
title Operations with regular holonomic D-modules with support a normal crossing
spellingShingle Operations with regular holonomic D-modules with support a normal crossing
Álvarez Montaner, Josep|||0000-0001-6793-368X
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
title_short Operations with regular holonomic D-modules with support a normal crossing
title_full Operations with regular holonomic D-modules with support a normal crossing
title_fullStr Operations with regular holonomic D-modules with support a normal crossing
title_full_unstemmed Operations with regular holonomic D-modules with support a normal crossing
title_sort Operations with regular holonomic D-modules with support a normal crossing
dc.creator.none.fl_str_mv Álvarez Montaner, Josep|||0000-0001-6793-368X
author Álvarez Montaner, Josep|||0000-0001-6793-368X
author_facet Álvarez Montaner, Josep|||0000-0001-6793-368X
author_role author
dc.subject.none.fl_str_mv 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
topic 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
description 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.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-01-01
2007
2007-05-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/843
url https://hdl.handle.net/2117/843
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301629

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