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math.AG2010
Higher dimensional tautological inequalities and applications
Carlo Gasbarri, Gianluca Pacienza, Erwan Rousseau
We study the degeneracy of holomorphic mappings tangent to holomorphic foliations on projective manifolds. Using Ahlfors currents in higher dimension, we obtain several strong dege…
math.AG2010★ 11 cited
On the canonical degrees of curves in varieties of general type
Pascal Autissier, Antoine Chambert-Loir, Carlo Gasbarri
A widely believed conjecture predicts that curves of bounded geometric genus lying on a variety of general type form a bounded family. One may even ask whether the canonical degree…