Canonical surfaces with big cotangent bundle

Xavier Roulleau (1) , Erwan Rousseau (2)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 7348]
2 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: surfaces of general type; big cotangent bundle; canonical singularities

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Xavier Roulleau, Erwan Rousseau. Canonical surfaces with big cotangent bundle. Duke Mathematical Journal, 2014. ⟨hal-00800236⟩