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

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Hal-Diderot
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Abstract

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.

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