Jean-Pierre DEMAILLY : Jet differentials and algebraic hyperbolicity properties

Posted by Mihai Paun , part of the Algebraic Geometry Seminar.

At

April 26, 2017, 11 a.m.

In

SEO 427

Abstract

On a projective variety of general type, one can prove the existence of sections of certain jet bundles of sufficiently high order and degree, and even evaluate the growth of their cohomology groups. New algebraic concepts of "strong general type" and "jet algebraic hyperbolicity" can be derived from there, that imply hyperbolicity properties for transcendental entire curves. Related techniques have been used recently by Damian Brotbek to confirm a version of the Kobayashi conjecture on the generic hyperbolicity of hypersurfaces of large degree.