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Higher dimensional tautological inequalities and applications |
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| Authors: | Carlo Gasbarri Gianluca Pacienza Erwan Rousseau |
| Institution: | 1. Institut de Recherche Mathématique Avancée, Université de Strasbourg et CNRS, 7, rue René Descartes, 67084, Strasbourg Cédex, France 2. Laboratoire d’Analyse, Topologie, Probabilités, Université d’Aix-Marseille et CNRS, 39, rue Frédéric Joliot-Curie, 13453, Marseille Cedex 13, France |
| Abstract: | We study the degeneracy of holomorphic mappings tangent to holomorphic foliations on projective manifolds. Using Ahlfors currents in higher dimension, we obtain several strong degeneracy statements such as the proof of a generalized Green-Griffiths–Lang conjecture for threefolds with holomorphic foliations of codimension one. |
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