Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties

Detalhes bibliográficos
Autor(a) principal: Corrêa, J. R. Maurício
Data de Publicação: 2010
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1016/j.bulsci.2010.07.001
http://www.locus.ufv.br/handle/123456789/21448
Resumo: We use the existence of homogeneous coordinates for simplicial toric varieties to prove a result analogous to the Darboux–Jouanolou–Ghys integrability theorem for the existence of rational first integrals for one-dimensional foliations.
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spelling Corrêa, J. R. Maurício2018-08-27T17:52:02Z2018-08-27T17:52:02Z2010-1000074497https://doi.org/10.1016/j.bulsci.2010.07.001http://www.locus.ufv.br/handle/123456789/21448We use the existence of homogeneous coordinates for simplicial toric varieties to prove a result analogous to the Darboux–Jouanolou–Ghys integrability theorem for the existence of rational first integrals for one-dimensional foliations.engBulletin des Sciences Mathématiquesv. 134, n. 7, p. 693- 704, october– november 2010Elsevier Masson SASinfo:eu-repo/semantics/openAccessHolomorphic foliationsRational first integralToric varietiesDarboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varietiesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf151951https://locus.ufv.br//bitstream/123456789/21448/1/artigo.pdfe31d34568b29639b074b69cd2b3ce97eMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21448/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4847https://locus.ufv.br//bitstream/123456789/21448/3/artigo.pdf.jpg44a94c5e5d319c2617f71457ee90c97bMD53123456789/214482018-08-27 23:00:44.7oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-08-28T02:00:44LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
title Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
spellingShingle Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
Corrêa, J. R. Maurício
Holomorphic foliations
Rational first integral
Toric varieties
title_short Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
title_full Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
title_fullStr Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
title_full_unstemmed Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
title_sort Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
author Corrêa, J. R. Maurício
author_facet Corrêa, J. R. Maurício
author_role author
dc.contributor.author.fl_str_mv Corrêa, J. R. Maurício
dc.subject.pt-BR.fl_str_mv Holomorphic foliations
Rational first integral
Toric varieties
topic Holomorphic foliations
Rational first integral
Toric varieties
description We use the existence of homogeneous coordinates for simplicial toric varieties to prove a result analogous to the Darboux–Jouanolou–Ghys integrability theorem for the existence of rational first integrals for one-dimensional foliations.
publishDate 2010
dc.date.issued.fl_str_mv 2010-10
dc.date.accessioned.fl_str_mv 2018-08-27T17:52:02Z
dc.date.available.fl_str_mv 2018-08-27T17:52:02Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1016/j.bulsci.2010.07.001
http://www.locus.ufv.br/handle/123456789/21448
dc.identifier.issn.none.fl_str_mv 00074497
identifier_str_mv 00074497
url https://doi.org/10.1016/j.bulsci.2010.07.001
http://www.locus.ufv.br/handle/123456789/21448
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 134, n. 7, p. 693- 704, october– november 2010
dc.rights.driver.fl_str_mv Elsevier Masson SAS
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Elsevier Masson SAS
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Bulletin des Sciences Mathématiques
publisher.none.fl_str_mv Bulletin des Sciences Mathématiques
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instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
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reponame_str LOCUS Repositório Institucional da UFV
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