Une caracterisation geometrique des exemples de lattes de P~k

摘要

(A geometrical characterization of Lattes examples in P~k) A Lattes example is an holomorphic self-map of the complex projective space which may be lift to some dilation of the affine space with same dimension by a ramified cover on which fibers a cristallographic group is acting transitively. We show that every holomorphic self-map of the complex projective space whose Green current is smooth and strictly positive on some non empty open set is a Lattes example.