Virtualconference
H Codimension one foliation with pseudo-effective conormal bundle - lecture 2
Auteurs : Touzet, Frédéric (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
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Résumé :
Let X be a projective manifold equipped with a codimension 1 (maybe singular) distribution whose conormal sheaf is assumed to be pseudoeffective. Basic examples of such distributions are provided by the kernel of a holomorphic one form, necessarily closed when the ambient is projective. More generally, due to a theorem of Jean-Pierre Demailly, a distribution with conormal sheaf pseudoeffective is actually integrable and thus defines a codimension 1 holomorphic foliation F. In this series of lectures, we would aim at describing the structure of such a foliation, especially in the non abundant case, i.e when F cannot be defined by a holomorphic one form (even passing through a finite cover). It turns out that \F is the pull-back of one of the "canonical foliations" on a Hilbert modular variety. This result remains valid for "logarithmic foliated pairs''.
Keywords : holomorphic foliations; pseudo-effective line bundle; abundance
Codes MSC :
37F75
- Holomorphic foliations and vector fields
Ressources complémentaires :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/touzetconormal2cirm.pdf
CODIMENSION ONE FOLIATIONS WITH PSEUDO-EFFECTIVE CONORMAL BUNDLE - Touzet Frédéric
HOLOMORPHIC POISSON STRUCTURES - Pym, Brent
FANO FOLIATIONS - Druel, Stéphane; Aroujo, Carolina
COMPLETE HOLOMORPHIC VECTOR FIELDS AND THEIR SINGULAR POINTS - Guillot, Adolfo
MINIMAL MODEL PROGRAM - Cascini, Paolo; Spicer, Calum
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 15/05/2020 Date de captation : 06/05/2020 Collection : Research School ; Algebraic and Complex Geometry Durée : 00:40:29 Domaine : Algebraic & Complex Geometry Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2020-05-06_Touzet_Part2.mp4 
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Informations sur la Rencontre Virtuelle
Nom de la rencontre : Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletagesOrganisateurs de la rencontre : Druel, Stéphane ; Pereira, Jorge Vitório ; Rousseau, Erwan Dates : 18/05/2020 - 22/05/2020 Année de la rencontre : 2020 URL Congrès : https://www.cirm-math.com/virtual-event-2251.html
Citation Data
DOI : 10.24350/CIRM.V.19631103Cite this video as: Touzet, Frédéric (2020). Codimension one foliation with pseudo-effective conormal bundle - lecture 2.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19631103 URI : http://dx.doi.org/10.24350/CIRM.V.19631103 |
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