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On the characterization of algebraically integrable plane foliations

dc.contributor.authorGalindo, Carlos
dc.contributor.authorMonserrat, Francisco
dc.date.accessioned2011-07-07T11:08:47Z
dc.date.available2011-07-07T11:08:47Z
dc.date.issued2010
dc.identifier.citationGALINDO, C.; MONSERRAT, F. On the characterization of algebraically integrable plane foliations. Transactions of the American Mathematical Society, 2010, vol. 362, no 9, p. 4557-4568
dc.identifier.issn0002-9947
dc.identifier.urihttp://hdl.handle.net/10234/25443
dc.description.abstractWe give a characterization theorem for non-degenerate plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree of a non-degenerate foliation as above provides the minimum number, , of points in the projective plane through which pass infinitely many algebraic leaves of the foliation
dc.format.extent11 p.
dc.language.isoeng
dc.publisherAmerican Mathematical Society
dc.relation.isPartOfTransactions of the American Mathematical Society, 2010, vol. 362, no. 9
dc.rights© American Mathematical Society
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectCharacterization theorem
dc.subjectNon-degenerate plane foliations
dc.subjectRational first integral
dc.subjectAlgebraic leaves
dc.subject.lcshFoliations (Mathematics)
dc.subject.otherFoliacions (Matemàtica)
dc.titleOn the characterization of algebraically integrable plane foliations
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doihttps://doi.org/10.1090/S0002-9947-10-04808-7
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.relation.publisherVersionhttps://www.ams.org/journals/tran/2010-362-09/S0002-9947-10-04808-7/
dc.type.versioninfo:eu-repo/semantics/submittedVersion


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