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Vector fields with simply connected trajectories transverse to a polynomial

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dc.contributor.authorBustinduy Candelas, Álvaro
dc.contributor.authorGiraldo Suárez, Luis
dc.date.accessioned2023-06-19T14:57:53Z
dc.date.available2023-06-19T14:57:53Z
dc.date.issued2015
dc.description.abstractWe classify the polynomial vector fields X on C2 which have simply-connected trajectories and satisfy dP(X)=1 for P in C[x,y]. In particular, we obtain that such vector fields are complete and have all its trajectories proper and of type C. Finally, we apply this result to classify surjective C-derivations of C[x,y], and provide a proof of a conjecture of Cerveau
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34798
dc.identifier.doi10.1016/j.aim.2015.08.003
dc.identifier.issn0001-8708
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0001870815002820
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34972
dc.issue.number5
dc.journal.titleAdvances in Mathematics
dc.language.isoeng
dc.page.final1357
dc.page.initial1339
dc.publisherElsvier
dc.rights.accessRightsrestricted access
dc.subject.cdu514
dc.subject.keywordFoliation transverse to a fibration
dc.subject.keywordFoliation P-complete
dc.subject.keywordSimply-connected trajectories
dc.subject.keywordSurjective derivations
dc.subject.ucmGeometría
dc.subject.unesco1204 Geometría
dc.titleVector fields with simply connected trajectories transverse to a polynomial
dc.typejournal article
dc.volume.number285
dspace.entity.typePublication
relation.isAuthorOfPublication7ee87225-8f33-4c93-9ead-94ce7ee69773
relation.isAuthorOfPublication.latestForDiscovery7ee87225-8f33-4c93-9ead-94ce7ee69773

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