Higher dimensional tautological inequalities and applications

Details Higher dimensional tautological inequalities and applications Higher dimensional tautological inequalities and applications

2010-06-26

arxiv.org/abs/1006.5138v2

Mathematics

Algebraic Geometry

28 pages; v2: algebraic degeneracy in the strong sense is obtained in several statements. We state a generalized Green-Griffit

Scientific paper

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.

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