dc.contributor.author
Bedrouni, S.
dc.contributor.author
Marín, D.
dc.date.accessioned
2023-02-02T08:57:16Z
dc.date.accessioned
2024-09-19T14:27:19Z
dc.date.available
2023-02-02T08:57:16Z
dc.date.available
2024-09-19T14:27:19Z
dc.date.issued
2019-09-04
dc.identifier.uri
http://hdl.handle.net/2072/530686
dc.description.abstract
A holomorphic foliation on P2C, or a real analytic foliation on P2R, is said to be convex if its leaves other than straight lines have no inflection points. The classification of the convex foliations of degree 2 on P2C has been established in 2015 by C. Favre and J. Pereira. The main argument of this classification was a result obtained in 2004 by D. Schlomiuk and N. Vulpe concerning the real polynomial vector fields of degree 2 whose associated foliation on P2R is convex. We present here a new proof of this classification, that is simpler, does not use this result and does not leave the holomorphic framework. It is based on the properties of certain models of convex foliations of P2C of arbitrary degree and of the discriminant of the dual web of a foliation of P2C.
eng
dc.format.extent
9 p.
cat
dc.publisher
Societe Mathematique de France
cat
dc.relation.ispartof
Bulletin de la Societe Mathematique de France
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Matemàtiques
cat
dc.title
A new proof of the classification of convex foliations of degree two on the complex projective plane [Une nouvelle démonstration de la classification des feuilletages convexes de degré deux sur P2C]
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.24033/bsmf.2818
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
