Hodge ideals of free divisors

We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration steps as submodules of the order filtration on a cyclic presentation in terms of a special factor of the Bernstein–Sato poly...

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Autores: Castaño Domínguez, Alberto, Narváez Macarro, Luis, Sevenheck, Christian
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/134438
Acceso en línea:https://hdl.handle.net/11441/134438
https://doi.org/10.1007/s00029-022-00767-1
Access Level:acceso abierto
Palabra clave:Hodge filtration
Hodge ideals
free divisors
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spelling Hodge ideals of free divisorsCastaño Domínguez, AlbertoNarváez Macarro, LuisSevenheck, ChristianHodge filtrationHodge idealsfree divisorsWe consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration steps as submodules of the order filtration on a cyclic presentation in terms of a special factor of the Bernstein–Sato polynomial of the divisor and we conjecture a bound for the generating level of the Hodge filtration. Finally, we develop an algorithm to compute Hodge ideals of such divisors and we apply it to some examples.Fondo Europeo de Desarrollo RegionalMinisterio de Ciencia e Innovación PID2020-114613GB-I00Junta de Andalucía (Consejería de Economía, Conocimiento, Empresas y Universidad) P20_01056Junta de Andalucía (Consejería de Economía y Conocimiento) US-1262169Universidad de Sevilla VI PPIT US-2018-II.5SpringerÁlgebraFQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/134438https://doi.org/10.1007/s00029-022-00767-1reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)Ingléshttps://doi.org/10.1007/s00029-022-00767-1info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1344382026-06-17T12:51:07Z
dc.title.none.fl_str_mv Hodge ideals of free divisors
title Hodge ideals of free divisors
spellingShingle Hodge ideals of free divisors
Castaño Domínguez, Alberto
Hodge filtration
Hodge ideals
free divisors
title_short Hodge ideals of free divisors
title_full Hodge ideals of free divisors
title_fullStr Hodge ideals of free divisors
title_full_unstemmed Hodge ideals of free divisors
title_sort Hodge ideals of free divisors
dc.creator.none.fl_str_mv Castaño Domínguez, Alberto
Narváez Macarro, Luis
Sevenheck, Christian
author Castaño Domínguez, Alberto
author_facet Castaño Domínguez, Alberto
Narváez Macarro, Luis
Sevenheck, Christian
author_role author
author2 Narváez Macarro, Luis
Sevenheck, Christian
author2_role author
author
dc.contributor.none.fl_str_mv Álgebra
FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía
dc.subject.none.fl_str_mv Hodge filtration
Hodge ideals
free divisors
topic Hodge filtration
Hodge ideals
free divisors
description We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration steps as submodules of the order filtration on a cyclic presentation in terms of a special factor of the Bernstein–Sato polynomial of the divisor and we conjecture a bound for the generating level of the Hodge filtration. Finally, we develop an algorithm to compute Hodge ideals of such divisors and we apply it to some examples.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/134438
https://doi.org/10.1007/s00029-022-00767-1
url https://hdl.handle.net/11441/134438
https://doi.org/10.1007/s00029-022-00767-1
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1007/s00029-022-00767-1
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 Springer
publisher.none.fl_str_mv Springer
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
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