Canonical surfaces with big cotangent bundle

Abstract

Surfaces of general type with positive second Segre number are known to have big cotangent bundle. We give a new criterion ensuring that a surface of general type with canonical singularities has a minimal resolution with big cotangent bundle. This provides many examples of surfaces with negative second Segre number and big cotangent bundle.

11 pages. Comments welcome

References in corpus (1)

• On the hyperbolicity of surfaces of general type with small $c_1^2$

Cited by in corpus (1)

• Explicit computation of symmetric differentials and its application to quasi-hyperbolicity