Special distributions determined by their singular scheme and residues

Detalhes bibliográficos
Autor(a) principal: Allan Ramos de Souza
Data de Publicação: 2020
Tipo de documento: Tese
Idioma: eng
Título da fonte: Repositório Institucional da UFMG
Texto Completo: http://hdl.handle.net/1843/33577
Resumo: The aim of this Thesis is to study codimension one Holomorphic Distributions on P^3 of degree d which are special along an irreducible smooth curve C. Firstly, we define the residue of a distribution F along C. This residue is determined via the Grothendieck's residues at singular points and can be interpreted as a numerical contribution offered by C when deformed into singular points. Secondly, we characterize these distributions by their singular scheme.
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spelling Arturo Ulises Fernández Pérezhttp://lattes.cnpq.br/2237596477064578Gilcione Nonato CostaArnulfo Miguel Rodriguez PeñaFernando LourençoMarcos Benevenuto JardimMaurício Barros Corrêa Júniorhttp://lattes.cnpq.br/6742359589596949Allan Ramos de Souza2020-06-02T21:37:54Z2020-06-02T21:37:54Z2020-03-04http://hdl.handle.net/1843/33577The aim of this Thesis is to study codimension one Holomorphic Distributions on P^3 of degree d which are special along an irreducible smooth curve C. Firstly, we define the residue of a distribution F along C. This residue is determined via the Grothendieck's residues at singular points and can be interpreted as a numerical contribution offered by C when deformed into singular points. Secondly, we characterize these distributions by their singular scheme.O objetivo desta Tese é estudar as Distribuições Holomorfas de codimensão um e grau d em P3 que são especiais ao longo de uma curva suave e irredutível C ⊂ P3. Primeiramente, definimos o resíduo de uma distribuição F ao longo de C . Este resíduo é determinado via resíduo de Grothendieck em pontos isolados e pode ser interpretado como a contribuição numérica que a curva C oferece ao ser deformada em pontos singualres. O segundo objetivo é caracterizar tais distribuições através de seu esquema singularFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas GeraisengUniversidade Federal de Minas GeraisPrograma de Pós-Graduação em MatemáticaUFMGBrasilICEX - INSTITUTO DE CIÊNCIAS EXATAShttp://creativecommons.org/licenses/by-nc-nd/3.0/pt/info:eu-repo/semantics/openAccessMatemática – TesesDistribuições holomorfasAplicações holomorfasVariedades (Matemática)Holomorphic distribution;Holomorphic applications,ManifoldsSpecial distributions determined by their singular scheme and residuesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.ufmg.br/bitstream/1843/33577/2/license_rdfcfd6801dba008cb6adbd9838b81582abMD52ORIGINALTese Allan.pdfTese Allan.pdfVersão Final da Teseapplication/pdf945897https://repositorio.ufmg.br/bitstream/1843/33577/1/Tese%20Allan.pdfda316ac20afb096a8377809ec78a33fbMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-82119https://repositorio.ufmg.br/bitstream/1843/33577/3/license.txt34badce4be7e31e3adb4575ae96af679MD531843/335772020-06-02 18:37:54.68oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2020-06-02T21:37:54Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.pt_BR.fl_str_mv Special distributions determined by their singular scheme and residues
title Special distributions determined by their singular scheme and residues
spellingShingle Special distributions determined by their singular scheme and residues
Allan Ramos de Souza
Holomorphic distribution;
Holomorphic applications,
Manifolds
Matemática – Teses
Distribuições holomorfas
Aplicações holomorfas
Variedades (Matemática)
title_short Special distributions determined by their singular scheme and residues
title_full Special distributions determined by their singular scheme and residues
title_fullStr Special distributions determined by their singular scheme and residues
title_full_unstemmed Special distributions determined by their singular scheme and residues
title_sort Special distributions determined by their singular scheme and residues
author Allan Ramos de Souza
author_facet Allan Ramos de Souza
author_role author
dc.contributor.advisor1.fl_str_mv Arturo Ulises Fernández Pérez
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2237596477064578
dc.contributor.advisor-co1.fl_str_mv Gilcione Nonato Costa
dc.contributor.referee1.fl_str_mv Arnulfo Miguel Rodriguez Peña
dc.contributor.referee2.fl_str_mv Fernando Lourenço
dc.contributor.referee3.fl_str_mv Marcos Benevenuto Jardim
dc.contributor.referee4.fl_str_mv Maurício Barros Corrêa Júnior
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/6742359589596949
dc.contributor.author.fl_str_mv Allan Ramos de Souza
contributor_str_mv Arturo Ulises Fernández Pérez
Gilcione Nonato Costa
Arnulfo Miguel Rodriguez Peña
Fernando Lourenço
Marcos Benevenuto Jardim
Maurício Barros Corrêa Júnior
dc.subject.por.fl_str_mv Holomorphic distribution;
Holomorphic applications,
Manifolds
topic Holomorphic distribution;
Holomorphic applications,
Manifolds
Matemática – Teses
Distribuições holomorfas
Aplicações holomorfas
Variedades (Matemática)
dc.subject.other.pt_BR.fl_str_mv Matemática – Teses
Distribuições holomorfas
Aplicações holomorfas
Variedades (Matemática)
description The aim of this Thesis is to study codimension one Holomorphic Distributions on P^3 of degree d which are special along an irreducible smooth curve C. Firstly, we define the residue of a distribution F along C. This residue is determined via the Grothendieck's residues at singular points and can be interpreted as a numerical contribution offered by C when deformed into singular points. Secondly, we characterize these distributions by their singular scheme.
publishDate 2020
dc.date.accessioned.fl_str_mv 2020-06-02T21:37:54Z
dc.date.available.fl_str_mv 2020-06-02T21:37:54Z
dc.date.issued.fl_str_mv 2020-03-04
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 http://hdl.handle.net/1843/33577
url http://hdl.handle.net/1843/33577
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/pt/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/pt/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática
dc.publisher.initials.fl_str_mv UFMG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv ICEX - INSTITUTO DE CIÊNCIAS EXATAS
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
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