Special distributions determined by their singular scheme and residues
Autor(a) principal: | |
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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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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:1843/33577TElDRU7Dh0EgREUgRElTVFJJQlVJw4fDg08gTsODTy1FWENMVVNJVkEgRE8gUkVQT1NJVMOTUklPIElOU1RJVFVDSU9OQUwgREEgVUZNRwoKQ29tIGEgYXByZXNlbnRhw6fDo28gZGVzdGEgbGljZW7Dp2EsIHZvY8OqIChvIGF1dG9yIChlcykgb3UgbyB0aXR1bGFyIGRvcyBkaXJlaXRvcyBkZSBhdXRvcikgY29uY2VkZSBhbyBSZXBvc2l0w7NyaW8gSW5zdGl0dWNpb25hbCBkYSBVRk1HIChSSS1VRk1HKSBvIGRpcmVpdG8gbsOjbyBleGNsdXNpdm8gZSBpcnJldm9nw6F2ZWwgZGUgcmVwcm9kdXppciBlL291IGRpc3RyaWJ1aXIgYSBzdWEgcHVibGljYcOnw6NvIChpbmNsdWluZG8gbyByZXN1bW8pIHBvciB0b2RvIG8gbXVuZG8gbm8gZm9ybWF0byBpbXByZXNzbyBlIGVsZXRyw7RuaWNvIGUgZW0gcXVhbHF1ZXIgbWVpbywgaW5jbHVpbmRvIG9zIGZvcm1hdG9zIMOhdWRpbyBvdSB2w61kZW8uCgpWb2PDqiBkZWNsYXJhIHF1ZSBjb25oZWNlIGEgcG9sw610aWNhIGRlIGNvcHlyaWdodCBkYSBlZGl0b3JhIGRvIHNldSBkb2N1bWVudG8gZSBxdWUgY29uaGVjZSBlIGFjZWl0YSBhcyBEaXJldHJpemVzIGRvIFJJLVVGTUcuCgpWb2PDqiBjb25jb3JkYSBxdWUgbyBSZXBvc2l0w7NyaW8gSW5zdGl0dWNpb25hbCBkYSBVRk1HIHBvZGUsIHNlbSBhbHRlcmFyIG8gY29udGXDumRvLCB0cmFuc3BvciBhIHN1YSBwdWJsaWNhw6fDo28gcGFyYSBxdWFscXVlciBtZWlvIG91IGZvcm1hdG8gcGFyYSBmaW5zIGRlIHByZXNlcnZhw6fDo28uCgpWb2PDqiB0YW1iw6ltIGNvbmNvcmRhIHF1ZSBvIFJlcG9zaXTDs3JpbyBJbnN0aXR1Y2lvbmFsIGRhIFVGTUcgcG9kZSBtYW50ZXIgbWFpcyBkZSB1bWEgY8OzcGlhIGRlIHN1YSBwdWJsaWNhw6fDo28gcGFyYSBmaW5zIGRlIHNlZ3VyYW7Dp2EsIGJhY2stdXAgZSBwcmVzZXJ2YcOnw6NvLgoKVm9jw6ogZGVjbGFyYSBxdWUgYSBzdWEgcHVibGljYcOnw6NvIMOpIG9yaWdpbmFsIGUgcXVlIHZvY8OqIHRlbSBvIHBvZGVyIGRlIGNvbmNlZGVyIG9zIGRpcmVpdG9zIGNvbnRpZG9zIG5lc3RhIGxpY2Vuw6dhLiBWb2PDqiB0YW1iw6ltIGRlY2xhcmEgcXVlIG8gZGVww7NzaXRvIGRlIHN1YSBwdWJsaWNhw6fDo28gbsOjbywgcXVlIHNlamEgZGUgc2V1IGNvbmhlY2ltZW50bywgaW5mcmluZ2UgZGlyZWl0b3MgYXV0b3JhaXMgZGUgbmluZ3XDqW0uCgpDYXNvIGEgc3VhIHB1YmxpY2HDp8OjbyBjb250ZW5oYSBtYXRlcmlhbCBxdWUgdm9jw6ogbsOjbyBwb3NzdWkgYSB0aXR1bGFyaWRhZGUgZG9zIGRpcmVpdG9zIGF1dG9yYWlzLCB2b2PDqiBkZWNsYXJhIHF1ZSBvYnRldmUgYSBwZXJtaXNzw6NvIGlycmVzdHJpdGEgZG8gZGV0ZW50b3IgZG9zIGRpcmVpdG9zIGF1dG9yYWlzIHBhcmEgY29uY2VkZXIgYW8gUmVwb3NpdMOzcmlvIEluc3RpdHVjaW9uYWwgZGEgVUZNRyBvcyBkaXJlaXRvcyBhcHJlc2VudGFkb3MgbmVzdGEgbGljZW7Dp2EsIGUgcXVlIGVzc2UgbWF0ZXJpYWwgZGUgcHJvcHJpZWRhZGUgZGUgdGVyY2Vpcm9zIGVzdMOhIGNsYXJhbWVudGUgaWRlbnRpZmljYWRvIGUgcmVjb25oZWNpZG8gbm8gdGV4dG8gb3Ugbm8gY29udGXDumRvIGRhIHB1YmxpY2HDp8OjbyBvcmEgZGVwb3NpdGFkYS4KCkNBU08gQSBQVUJMSUNBw4fDg08gT1JBIERFUE9TSVRBREEgVEVOSEEgU0lETyBSRVNVTFRBRE8gREUgVU0gUEFUUk9Dw41OSU8gT1UgQVBPSU8gREUgVU1BIEFHw4pOQ0lBIERFIEZPTUVOVE8gT1UgT1VUUk8gT1JHQU5JU01PLCBWT0PDiiBERUNMQVJBIFFVRSBSRVNQRUlUT1UgVE9ET1MgRSBRVUFJU1FVRVIgRElSRUlUT1MgREUgUkVWSVPDg08gQ09NTyBUQU1Cw4lNIEFTIERFTUFJUyBPQlJJR0HDh8OVRVMgRVhJR0lEQVMgUE9SIENPTlRSQVRPIE9VIEFDT1JETy4KCk8gUmVwb3NpdMOzcmlvIEluc3RpdHVjaW9uYWwgZGEgVUZNRyBzZSBjb21wcm9tZXRlIGEgaWRlbnRpZmljYXIgY2xhcmFtZW50ZSBvIHNldSBub21lKHMpIG91IG8ocykgbm9tZXMocykgZG8ocykgZGV0ZW50b3IoZXMpIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBkYSBwdWJsaWNhw6fDo28sIGUgbsOjbyBmYXLDoSBxdWFscXVlciBhbHRlcmHDp8OjbywgYWzDqW0gZGFxdWVsYXMgY29uY2VkaWRhcyBwb3IgZXN0YSBsaWNlbsOnYS4KCg==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 |
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Universidade Federal de Minas Gerais (UFMG) |
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UFMG |
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UFMG |
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Repositório Institucional da UFMG |
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Repositório Institucional da UFMG |
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