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Article Dans Une Revue L'Enseignement Mathématique Année : 2015

The exceptional set and the Green-Griffiths locus do not always coincide

Résumé

We give a very simple criterion in order to ensure that the Green-Griffiths locus of a projective manifold is the whole manifold. Next, we exhibit in all dimensions a projective hyperbolic manifold of general type, which satisfies such a criterion. In particular, this gives some precisions to an example given by M. Green to S. Lang.

Dates et versions

hal-00800535 , version 1 (13-03-2013)

Identifiants

Citer

Simone Diverio, Erwan Rousseau. The exceptional set and the Green-Griffiths locus do not always coincide. L'Enseignement Mathématique , 2015, 61 (3-4), pp.417-452. ⟨10.4171/LEM/61-3/4-6⟩. ⟨hal-00800535⟩
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