Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors

In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new linearity conditions on the Jacobian ideal which arise in this setting.

Detalhes bibliográficos
Autor: Narváez Macarro, Luis
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/139169
Acesso em linha:https://hdl.handle.net/11441/139169
https://doi.org/10.48550/arXiv.0804.2219
Access Level:acceso abierto
Palavra-chave:Free divisor
Jacobian ideal
logarithmic forms
D-module
Bernstein polynomial
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spelling Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisorsNarváez Macarro, LuisFree divisorJacobian ideallogarithmic formsD-moduleBernstein polynomialIn this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new linearity conditions on the Jacobian ideal which arise in this setting.Cornell UniversityÁlgebraFQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/139169https://doi.org/10.48550/arXiv.0804.2219reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)Inglésnullhttps://doi.org/10.48550/arXiv.0804.2219info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1391692026-06-17T12:51:07Z
dc.title.none.fl_str_mv Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
title Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
spellingShingle Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
Narváez Macarro, Luis
Free divisor
Jacobian ideal
logarithmic forms
D-module
Bernstein polynomial
title_short Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
title_full Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
title_fullStr Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
title_full_unstemmed Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
title_sort Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
dc.creator.none.fl_str_mv Narváez Macarro, Luis
author Narváez Macarro, Luis
author_facet Narváez Macarro, Luis
author_role author
dc.contributor.none.fl_str_mv Álgebra
FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía
dc.subject.none.fl_str_mv Free divisor
Jacobian ideal
logarithmic forms
D-module
Bernstein polynomial
topic Free divisor
Jacobian ideal
logarithmic forms
D-module
Bernstein polynomial
description In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new linearity conditions on the Jacobian ideal which arise in this setting.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/139169
https://doi.org/10.48550/arXiv.0804.2219
url https://hdl.handle.net/11441/139169
https://doi.org/10.48550/arXiv.0804.2219
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv null
https://doi.org/10.48550/arXiv.0804.2219
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Cornell University
publisher.none.fl_str_mv Cornell University
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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