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| HAL : hal-00016056, version 1 |
| arXiv : math.CA/0512397 |
| DOI : 10.1142/S0129167X07004278 |
| Fiche détaillée |  Récupérer au format |
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| International Journal of Mathematics 18 (2007) 723-747 |
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| Transversely projective foliations on surfaces: existence of normal forms and prescription of the monodromy |
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| Frank Loray 1Jorge Vitorio Pereira 2, 3 |
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| (2007) |
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| We introduce a notion of normal form for transversely projective structures of singular foliations on complex manifolds. Our first main result says that this normal form exists and is unique when ambient space is two-dimensional. From this result one obtains a natural way to produce invariants for transversely projective foliations on surfaces. Our second main result says that on projective surfaces one can construct singular transversely projective foliations with prescribed monodromy. |
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| 1 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2 : | Instituto de Matematica Pura e Aplicada (IMPA) |
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CNPq |
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| 3 : | Instituto Nacional de Matemática Pura e Aplicada (IMPA) |
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Instituto Nacional de matematica pura e aplicada |
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| Domaine | : | Mathématiques/Analyse classique Mathématiques/Géométrie algébrique Mathématiques/Systèmes dynamiques |
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| Foliation – Transverse Structure – Birational Geometry |
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| hal-00016056, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00016056 | |
| oai:hal.archives-ouvertes.fr:hal-00016056 | |
| Contributeur : Frank Loray | |
| Soumis le : Vendredi 16 Décembre 2005, 16:38:01 | |
| Dernière modification le : Jeudi 25 Février 2010, 17:30:56 | |
