Jean-Pierre Demailly
Published 2014-12-09Version 1
The Green-Griffiths-Lang conjecture stipulates that for every projective variety X of general type over C, there exists a proper algebraic subvariety of X containing all non constant entire curves f : C $\rightarrow$ X. Using the formalism of directed varieties, we prove here that this assertion holds true in case X satisfies a strong general type condition that is related to a certain jet-semistability property of the tangent bundle T X . This work is dedicated to the memory of Professor Salah Baouendi.
Recent results on the Kobayashi and Green-Griffiths-Lang conjectures
Proof of the Kobayashi conjecture on the hyperbolicity of very general hypersurfaces
Effective algebraic degeneracy of entire curves in complements of smooth projective hypersurfaces
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