We give a very simple criterion for the Green–Griffiths locus of a projective manifold to be the whole manifold. Then, we use it to show that the Green–Griffiths locus of any projective manifold uniformized by a bounded symmetric domain of rank greater than one is the whole manifold. In particular, this clarifies an old undetailed example given by M. Green to S. Lang.
The exceptional set and the Green-Griffiths locus do not always coincide / Diverio, Simone; Rousseau, Erwan. - In: L'ENSEIGNEMENT MATHÉMATIQUE. - ISSN 0013-8584. - STAMPA. - 3-4:61(2015), pp. 417-452.
The exceptional set and the Green-Griffiths locus do not always coincide
Diverio, Simone;
2015
Abstract
We give a very simple criterion for the Green–Griffiths locus of a projective manifold to be the whole manifold. Then, we use it to show that the Green–Griffiths locus of any projective manifold uniformized by a bounded symmetric domain of rank greater than one is the whole manifold. In particular, this clarifies an old undetailed example given by M. Green to S. Lang.File allegati a questo prodotto
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