Improved bounds for jet differential operators and the Kobayashi conjecture | Vidéo | Carmin.tv

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Chapitres

Improved bounds for jet differential operators and the Kobayashi conjecture

De Jean-Pierre Demailly

Apparaît dans la collection : Entire curves, rational curves and foliations / Courbes entières, courbes rationnelles et feuilletages

We will discuss several new ideas that can show the existence of jet differential operators on arbitrary projective varieties, and also on general hypersurfaces of $\mathbb{P}^n$ of sufficiently high degree. These results can be applied to improve degree bounds in several hyperbolicity problems and especially in the proof of the Kobayashi conjecture.

Informations sur la vidéo

Date de captation 18/02/2019
Date de publication 27/02/2019
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19494503
Citer cette vidéo Demailly, Jean-Pierre (18/02/2019). Improved bounds for jet differential operators and the Kobayashi conjecture. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19494503
URL https://dx.doi.org/10.24350/CIRM.V.19494503

Domaine(s)

Géométrie algébrique

Bibliographie

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Demailly, J.-P. (2018). Recent results on the Kobayashi and Green-Griffiths-Lang conjectures. <arXiv:1801.04765> - https://arxiv.org/abs/1801.04765
Demailly, J.-P. (1997). Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials. In J. Kollár, & R. Lazarsfeld (Eds.), Algebraic geometry. Proceedings of the Summer Research Institute, Santa Cruz, CA, USA, July 9-29, 1995 (pp. 285-360). Providence, RI: American Mathematical Society - https://www-fourier.ujf-grenoble.fr/~demailly/manuscripts/hyperbolic.pdf
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