Characteristic cycles of localizations: algorithmic approach

For a polynomial ring R = k[x1, ..., xn], we present an algorithm for computing the characteristic cycle of the localization Rf for any nonzero polynomial f ∈ R. The approach is useful to answer certain questions regarding vanishing of local cohomology modules Hk I (R), which is illustrated by our e...

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Authors: Álvarez Montaner, Josep|||0000-0001-6793-368X, Leykin, Anton
Format: article
Publication Date:2004
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/941
Online Access:https://hdl.handle.net/2117/941
Access Level:Open access
Keyword:Algebra, Homological
Differential algebra
Characteristic cycle
Local cohomology
D-modules
Homologia, Teoria d'
Àlgebra diferencial
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
Classificació AMS::13 Commutative rings and algebras::13N Differential algebra
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network_acronym_str ES
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repository_id_str
spelling Characteristic cycles of localizations: algorithmic approachÁlvarez Montaner, Josep|||0000-0001-6793-368XLeykin, AntonAlgebra, HomologicalDifferential algebraCharacteristic cycleLocal cohomologyD-modulesHomologia, Teoria d'Àlgebra diferencialClassificació AMS::13 Commutative rings and algebras::13D Homological methodsClassificació AMS::13 Commutative rings and algebras::13N Differential algebraFor a polynomial ring R = k[x1, ..., xn], we present an algorithm for computing the characteristic cycle of the localization Rf for any nonzero polynomial f ∈ R. The approach is useful to answer certain questions regarding vanishing of local cohomology modules Hk I (R), which is illustrated by our examples.20042004-01-0120072007-05-08journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/941reponame: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:2117/9412026-05-27T15:37:01Z
dc.title.none.fl_str_mv Characteristic cycles of localizations: algorithmic approach
title Characteristic cycles of localizations: algorithmic approach
spellingShingle Characteristic cycles of localizations: algorithmic approach
Álvarez Montaner, Josep|||0000-0001-6793-368X
Algebra, Homological
Differential algebra
Characteristic cycle
Local cohomology
D-modules
Homologia, Teoria d'
Àlgebra diferencial
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
Classificació AMS::13 Commutative rings and algebras::13N Differential algebra
title_short Characteristic cycles of localizations: algorithmic approach
title_full Characteristic cycles of localizations: algorithmic approach
title_fullStr Characteristic cycles of localizations: algorithmic approach
title_full_unstemmed Characteristic cycles of localizations: algorithmic approach
title_sort Characteristic cycles of localizations: algorithmic approach
dc.creator.none.fl_str_mv Álvarez Montaner, Josep|||0000-0001-6793-368X
Leykin, Anton
author Álvarez Montaner, Josep|||0000-0001-6793-368X
author_facet Álvarez Montaner, Josep|||0000-0001-6793-368X
Leykin, Anton
author_role author
author2 Leykin, Anton
author2_role author
dc.subject.none.fl_str_mv Algebra, Homological
Differential algebra
Characteristic cycle
Local cohomology
D-modules
Homologia, Teoria d'
Àlgebra diferencial
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
Classificació AMS::13 Commutative rings and algebras::13N Differential algebra
topic Algebra, Homological
Differential algebra
Characteristic cycle
Local cohomology
D-modules
Homologia, Teoria d'
Àlgebra diferencial
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
Classificació AMS::13 Commutative rings and algebras::13N Differential algebra
description For a polynomial ring R = k[x1, ..., xn], we present an algorithm for computing the characteristic cycle of the localization Rf for any nonzero polynomial f ∈ R. The approach is useful to answer certain questions regarding vanishing of local cohomology modules Hk I (R), which is illustrated by our examples.
publishDate 2004
dc.date.none.fl_str_mv 2004
2004-01-01
2007
2007-05-08
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/2117/941
url https://hdl.handle.net/2117/941
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
_version_ 1869417564754411520
score 15,301603

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