Resultats globals: 4 registres trobats en 0.02 segons.
Articles, 4 registres trobats
Articles 4 registres trobats  
1.
8 p, 407.8 KB Une nouvelle démonstration de la classification des feuilletages convexes de degré deux sur P2C / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Bedrouni, Samir (University Of Science And Technology Houari Boumediene)
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. [...]
2020 - 10.24033/bsmf.2818
Bulletin de la Société Mathématique de France, Vol. 148, fasc. 4 (2020) , p. 613-622  
2.
28 p, 542.2 KB Geometry of certain foliations on the complex projective plane / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Bedrouni, Samir (University Of Science And Technology Houari Boumediene)
Let d≥2 be an integer. The set F(d) of foliations of degree d on the complex projective plane can be identified with a Zariski's open set of a projective space of dimension d2+4d+2 on which Aut(P2C) acts. [...]
2022
Annali della Scuola normale superiore di Pisa - Classe di scienze, 2022  
3.
21 p, 448.5 KB Convex foliations of degree 5 on the complex projective plane / Bedrouni, Samir (University Of Science And Technology Houari Boumediene) ; Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We show that, up to automorphisms of P2 C, there are fourteen homogeneous convex foliations of degree 5 on P2 C. We establish some properties of the Fermat foliation Fd 0 of degree d ≥ 2 and of the Hilbert modular foliation F5 H of degree 5. [...]
2021 - 10.5565/PUBLMAT6522101
Publicacions matemàtiques, Vol. 65 Núm. 2 (2021) , p. 409-429 (Articles)  
4.
31 p, 451.5 KB Tissus plats et feuilletages homogènes sur le plan projectif complexe / Bedrouni, Samir ; Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this work is to study the foliations on the complex projective plane with flat Legendre transform (dual web). We establish some effective criteria for the flatness of the dual d-web of a homogeneous foliation of degree d and we describe some explicit examples. [...]
Le but de ce travail est d'étudier les feuilletages du plan projectif complexe ayant une transformée de Legendre (tissu dual) plate. Nous établissons quelques critères effectifs de la platitude du d-tissu dual d'un feuilletage homogène de degré d et nous décrivons quelques exemples explicites. [...]
Resum.

2018 - 10.24033/bsmf.2764
Bulletin de la Société Mathématique de France, Tome 146, Fasc. 3 (2018) , p. 479-516  

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