Hypertetrahedral arrangements

In this paper, we introduce the notion of a complete hypertetrahedral arrangement $\mathcal{A}$ in $\mathbb{P}^n$. We address two basic problems. First, we describe the local freeness of $\mathcal{A}$ in terms of smaller complete hypertetrahedral arrangements and graph theory properties, specializin...

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Detalhes bibliográficos
Autores: Colarte Gómez, Liena, Costa Farràs, Laura, Marchesi, Simone, Miró-Roig, Rosa M. (Rosa Maria), Salat Moltó, Martí
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/194820
Acesso em linha:https://hdl.handle.net/2445/194820
Access Level:acceso abierto
Palavra-chave:Geometria algebraica
Anells commutatius
Homologia
Algebraic geometry
Commutative rings
Homology
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spelling Hypertetrahedral arrangementsColarte Gómez, LienaCosta Farràs, LauraMarchesi, SimoneMiró-Roig, Rosa M. (Rosa Maria)Salat Moltó, MartíGeometria algebraicaAnells commutatiusHomologiaAlgebraic geometryCommutative ringsHomologyIn this paper, we introduce the notion of a complete hypertetrahedral arrangement $\mathcal{A}$ in $\mathbb{P}^n$. We address two basic problems. First, we describe the local freeness of $\mathcal{A}$ in terms of smaller complete hypertetrahedral arrangements and graph theory properties, specializing the Mustață-Schenck criterion. As an application, we obtain that general complete hypertetrahedral arrangements are not locally free. In the second part of this paper, we bound the initial degree of the first syzygy module of the Jacobian ideal of $\mathcal{A}$.Springer Verlag2023202320212023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion25 p.application/pdfhttps://hdl.handle.net/2445/194820Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.1007/s00209-021-02911-7Mathematische Zeitschrift, 2021, vol. 301, p. 515-539https://doi.org/10.1007/s00209-021-02911-7cc by (c) Liena Colarte-Gómez et al., 2021http://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1948202026-05-29T05:05:01Z
dc.title.none.fl_str_mv Hypertetrahedral arrangements
title Hypertetrahedral arrangements
spellingShingle Hypertetrahedral arrangements
Colarte Gómez, Liena
Geometria algebraica
Anells commutatius
Homologia
Algebraic geometry
Commutative rings
Homology
title_short Hypertetrahedral arrangements
title_full Hypertetrahedral arrangements
title_fullStr Hypertetrahedral arrangements
title_full_unstemmed Hypertetrahedral arrangements
title_sort Hypertetrahedral arrangements
dc.creator.none.fl_str_mv Colarte Gómez, Liena
Costa Farràs, Laura
Marchesi, Simone
Miró-Roig, Rosa M. (Rosa Maria)
Salat Moltó, Martí
author Colarte Gómez, Liena
author_facet Colarte Gómez, Liena
Costa Farràs, Laura
Marchesi, Simone
Miró-Roig, Rosa M. (Rosa Maria)
Salat Moltó, Martí
author_role author
author2 Costa Farràs, Laura
Marchesi, Simone
Miró-Roig, Rosa M. (Rosa Maria)
Salat Moltó, Martí
author2_role author
author
author
author
dc.subject.none.fl_str_mv Geometria algebraica
Anells commutatius
Homologia
Algebraic geometry
Commutative rings
Homology
topic Geometria algebraica
Anells commutatius
Homologia
Algebraic geometry
Commutative rings
Homology
description In this paper, we introduce the notion of a complete hypertetrahedral arrangement $\mathcal{A}$ in $\mathbb{P}^n$. We address two basic problems. First, we describe the local freeness of $\mathcal{A}$ in terms of smaller complete hypertetrahedral arrangements and graph theory properties, specializing the Mustață-Schenck criterion. As an application, we obtain that general complete hypertetrahedral arrangements are not locally free. In the second part of this paper, we bound the initial degree of the first syzygy module of the Jacobian ideal of $\mathcal{A}$.
publishDate 2021
dc.date.none.fl_str_mv 2021
2023
2023
2023
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/2445/194820
url https://hdl.handle.net/2445/194820
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1007/s00209-021-02911-7
Mathematische Zeitschrift, 2021, vol. 301, p. 515-539
https://doi.org/10.1007/s00209-021-02911-7
dc.rights.none.fl_str_mv cc by (c) Liena Colarte-Gómez et al., 2021
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc by (c) Liena Colarte-Gómez et al., 2021
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 25 p.
application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,228081

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