O algoritmo de Newton-Puiseux para formas Pfaffianas

Detalhes bibliográficos
Ano de defesa: 2021
Autor(a) principal: Mariana de Oliveira Lourenço
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Minas Gerais
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Matemática – Teses.
Polígono de Newton – Teses
Formas Pfaffianas – Teses
Link de acesso: https://hdl.handle.net/1843/41164
Resumo: The Newton-Puiseux Algorithm is a tool used to parameterize analytic curves as well as to find analytic solutions in a Pfaffian way. The main objective of this dissertation is to understand the extension of the Newton-Puiseux Algorithm made by J.Cano in the article "An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms". The extension performed by J.Cano consists of a general method that applies to s-Gevrey forms, a weaker convergence condition for formal series. This method allows finding s-Gevrey solutions for Pfaffian forms with s-Gevrey coefficients.
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spelling 2022-04-27T00:35:27Z2025-09-09T01:08:38Z2022-04-27T00:35:27Z2021-02-25https://hdl.handle.net/1843/41164The Newton-Puiseux Algorithm is a tool used to parameterize analytic curves as well as to find analytic solutions in a Pfaffian way. The main objective of this dissertation is to understand the extension of the Newton-Puiseux Algorithm made by J.Cano in the article "An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms". The extension performed by J.Cano consists of a general method that applies to s-Gevrey forms, a weaker convergence condition for formal series. This method allows finding s-Gevrey solutions for Pfaffian forms with s-Gevrey coefficients.CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorporUniversidade Federal de Minas GeraisMatemáticaPolígono de NewtonFormas PfaffianasMatemática – Teses.Polígono de Newton – TesesFormas Pfaffianas – TesesO algoritmo de Newton-Puiseux para formas PfaffianasThe Newton-Puiseux algorithm for Pfaffian shapesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisMariana de Oliveira Lourençoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGhttp://lattes.cnpq.br/5206966257522870Rogério Santos Molhttp://lattes.cnpq.br/5408769959970651Fernando LourençoPercy FernándezO Algoritmo de Newton-Puiseux é uma ferramenta usada para parametrizar curvas analíticas, bem como para encontrar soluções analíticas de uma forma Pfaffiana. O principal objetivo dessa dissertação é entender a extensão do Algoritmo de Newton-Puiseux feita por J.Cano no artigo "An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms". A extensão realizada por J.Cano consiste em um método geral que se aplica para formas s-Gevrey, uma condição mais fraca de convergência para séries formais. Esse método permite encontrar soluções s-Gevrey para formas Pfaffianas com coeficientes s-Gevrey.BrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em MatemáticaUFMGORIGINALDissertação Mariana -versão final (2).pdfapplication/pdf2312987https://repositorio.ufmg.br//bitstreams/6ae63dd4-d929-484e-bfaf-ceb2fe246595/downloade482e31d73691c1b41db081a020b48d4MD51trueAnonymousREADLICENSElicense.txttext/plain2118https://repositorio.ufmg.br//bitstreams/0462c826-13f1-403c-b109-a1411a67daf7/downloadcda590c95a0b51b4d15f60c9642ca272MD52falseAnonymousREAD1843/411642025-09-08 22:08:38.691open.accessoai:repositorio.ufmg.br:1843/41164https://repositorio.ufmg.br/Repositório InstitucionalPUBhttps://repositorio.ufmg.br/oairepositorio@ufmg.bropendoar:2025-09-09T01:08:38Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)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
dc.title.none.fl_str_mv O algoritmo de Newton-Puiseux para formas Pfaffianas
dc.title.alternative.none.fl_str_mv The Newton-Puiseux algorithm for Pfaffian shapes
title O algoritmo de Newton-Puiseux para formas Pfaffianas
spellingShingle O algoritmo de Newton-Puiseux para formas Pfaffianas
Mariana de Oliveira Lourenço
Matemática – Teses.
Polígono de Newton – Teses
Formas Pfaffianas – Teses
Matemática
Polígono de Newton
Formas Pfaffianas
title_short O algoritmo de Newton-Puiseux para formas Pfaffianas
title_full O algoritmo de Newton-Puiseux para formas Pfaffianas
title_fullStr O algoritmo de Newton-Puiseux para formas Pfaffianas
title_full_unstemmed O algoritmo de Newton-Puiseux para formas Pfaffianas
title_sort O algoritmo de Newton-Puiseux para formas Pfaffianas
author Mariana de Oliveira Lourenço
author_facet Mariana de Oliveira Lourenço
author_role author
dc.contributor.author.fl_str_mv Mariana de Oliveira Lourenço
dc.subject.por.fl_str_mv Matemática – Teses.
Polígono de Newton – Teses
Formas Pfaffianas – Teses
topic Matemática – Teses.
Polígono de Newton – Teses
Formas Pfaffianas – Teses
Matemática
Polígono de Newton
Formas Pfaffianas
dc.subject.other.none.fl_str_mv Matemática
Polígono de Newton
Formas Pfaffianas
description The Newton-Puiseux Algorithm is a tool used to parameterize analytic curves as well as to find analytic solutions in a Pfaffian way. The main objective of this dissertation is to understand the extension of the Newton-Puiseux Algorithm made by J.Cano in the article "An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms". The extension performed by J.Cano consists of a general method that applies to s-Gevrey forms, a weaker convergence condition for formal series. This method allows finding s-Gevrey solutions for Pfaffian forms with s-Gevrey coefficients.
publishDate 2021
dc.date.issued.fl_str_mv 2021-02-25
dc.date.accessioned.fl_str_mv 2022-04-27T00:35:27Z
2025-09-09T01:08:38Z
dc.date.available.fl_str_mv 2022-04-27T00:35:27Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1843/41164
url https://hdl.handle.net/1843/41164
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
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
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reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
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