Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras

Detalhes bibliográficos
Ano de defesa: 2024
Autor(a) principal: BEZERRA, Lenin Alexandre de Almeida
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Universidade Federal de Pernambuco
UFPE
Brasil
Programa de Pos Graduacao em Matematica
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Hilbert functions
Lefschetz properties
Artinian Gorenstein algebra
Link de acesso: https://repositorio.ufpe.br/handle/123456789/64118
Resumo: This work is divided into two parts. In the first one, we studied minimal Hilbert functions for Artinian Gorenstein algebras, we conjecture that for certain algebras the Hilbert vector is always minimal, and prove this conjecture for a particular case. In the second part, we studied the Lefschetz locus for Artinian Gorenstein algebras with Hilbert vector (1, N + 1, N + 1, 1).
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repository_id_str
spelling Hilbert functions and Lefschetz properties for Artinian Gorenstein algebrasHilbert functionsLefschetz propertiesArtinian Gorenstein algebraThis work is divided into two parts. In the first one, we studied minimal Hilbert functions for Artinian Gorenstein algebras, we conjecture that for certain algebras the Hilbert vector is always minimal, and prove this conjecture for a particular case. In the second part, we studied the Lefschetz locus for Artinian Gorenstein algebras with Hilbert vector (1, N + 1, N + 1, 1).Indisponível.Universidade Federal de PernambucoUFPEBrasilPrograma de Pos Graduacao em MatematicaNEVES, Rodrigo José Gondimhttp://lattes.cnpq.br/0507982414680253http://lattes.cnpq.br/7835619149066999BEZERRA, Lenin Alexandre de Almeida2025-07-07T13:43:33Z2025-07-07T13:43:33Z2024-12-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfBEZERRA, Lenin Alexandre de Almeida. Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras. 2024. Tese (Doutorado em Matemática) – Universidade Federal de Pernambuco, Recife, 2024.https://repositorio.ufpe.br/handle/123456789/64118enghttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFPEinstname:Universidade Federal de Pernambuco (UFPE)instacron:UFPE2025-07-13T17:34:58Zoai:repositorio.ufpe.br:123456789/64118Repositório InstitucionalPUBhttps://repositorio.ufpe.br/oai/requestattena@ufpe.bropendoar:22212025-07-13T17:34:58Repositório Institucional da UFPE - Universidade Federal de Pernambuco (UFPE)false
dc.title.none.fl_str_mv Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
title Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
spellingShingle Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
BEZERRA, Lenin Alexandre de Almeida
Hilbert functions
Lefschetz properties
Artinian Gorenstein algebra
title_short Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
title_full Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
title_fullStr Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
title_full_unstemmed Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
title_sort Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras
author BEZERRA, Lenin Alexandre de Almeida
author_facet BEZERRA, Lenin Alexandre de Almeida
author_role author
dc.contributor.none.fl_str_mv NEVES, Rodrigo José Gondim
http://lattes.cnpq.br/0507982414680253
http://lattes.cnpq.br/7835619149066999
dc.contributor.author.fl_str_mv BEZERRA, Lenin Alexandre de Almeida
dc.subject.por.fl_str_mv Hilbert functions
Lefschetz properties
Artinian Gorenstein algebra
topic Hilbert functions
Lefschetz properties
Artinian Gorenstein algebra
description This work is divided into two parts. In the first one, we studied minimal Hilbert functions for Artinian Gorenstein algebras, we conjecture that for certain algebras the Hilbert vector is always minimal, and prove this conjecture for a particular case. In the second part, we studied the Lefschetz locus for Artinian Gorenstein algebras with Hilbert vector (1, N + 1, N + 1, 1).
publishDate 2024
dc.date.none.fl_str_mv 2024-12-13
2025-07-07T13:43:33Z
2025-07-07T13:43:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv BEZERRA, Lenin Alexandre de Almeida. Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras. 2024. Tese (Doutorado em Matemática) – Universidade Federal de Pernambuco, Recife, 2024.
https://repositorio.ufpe.br/handle/123456789/64118
identifier_str_mv BEZERRA, Lenin Alexandre de Almeida. Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras. 2024. Tese (Doutorado em Matemática) – Universidade Federal de Pernambuco, Recife, 2024.
url https://repositorio.ufpe.br/handle/123456789/64118
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Pernambuco
UFPE
Brasil
Programa de Pos Graduacao em Matematica
publisher.none.fl_str_mv Universidade Federal de Pernambuco
UFPE
Brasil
Programa de Pos Graduacao em Matematica
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFPE
instname:Universidade Federal de Pernambuco (UFPE)
instacron:UFPE
instname_str Universidade Federal de Pernambuco (UFPE)
instacron_str UFPE
institution UFPE
reponame_str Repositório Institucional da UFPE
collection Repositório Institucional da UFPE
repository.name.fl_str_mv Repositório Institucional da UFPE - Universidade Federal de Pernambuco (UFPE)
repository.mail.fl_str_mv attena@ufpe.br
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