Hyperbolicity and Uniformity of Varieties of Log General type
Hyperbolicity and Uniformity of Varieties of Log General type
Projective varieties with ample cotangent bundle satisfy many notions of hyperbolicity, and one goal of this paper is to discuss generalizations to quasi-projective varieties. A major hurdle is that the naive generalization fails, i.e. the log cotangent bundle is never ample. Instead, we define a notion called almost ample which …