A brief survey on residue theory of holomorphic foliations

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorLourenço, Fernando-
Autor(es): dc.creatorReis, Fernando-
Data de aceite: dc.date.accessioned2026-02-09T11:35:44Z-
Data de disponibilização: dc.date.available2026-02-09T11:35:44Z-
Data de envio: dc.date.issued2024-09-25-
Data de envio: dc.date.issued2024-09-25-
Data de envio: dc.date.issued2022-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/59499-
Fonte completa do material: dc.identifierhttps://mc.sbm.org.br/wp-content/uploads/sites/9/sites/9/2023/08/Article-08-vol-53.pdf-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1143136-
Descrição: dc.descriptionThis is a survey paper dealing with holomorphic foliations, with emphasis on Residue Theory and its applications. We start recalling the definition of holomorphic foliations as a subsheaf of the tangent sheaf of a manifold. The theory of Characteristic Classes of vector bundles is approached from this perspective. We define Chern Class of holomorphic foliations using the Chern-Weil theory and we remark that the Baum-Bott residue is a great tool that help us to classify some foliations. We present along the survey several recent results and advances in residue theory. We finish the work present some applications of residues to solve for example the Poincaré problem and the existence of minimal sets for foliations.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherSociedade Brasileira de Matemática-
Direitos: dc.rightsAttribution-ShareAlike 4.0 International-
Direitos: dc.rightsAttribution-ShareAlike 4.0 International-
Direitos: dc.rightsrestrictAccess-
Direitos: dc.rightshttp://creativecommons.org/licenses/by-sa/4.0/-
Direitos: dc.rightshttp://creativecommons.org/licenses/by-sa/4.0/-
???dc.source???: dc.sourceMatemática Contemporânea-
Palavras-chave: dc.subjectHolomorphic foliation-
Palavras-chave: dc.subjectFlags-
Palavras-chave: dc.subjectResidues-
Palavras-chave: dc.subjectCharacteristic classes-
Título: dc.titleA brief survey on residue theory of holomorphic foliations-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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