AMPLENESS OF SCHUR POWERS OF COTANGENT BUNDLES AND p-HYPERBOLICITY

Antoine Etesse (1)

1 I2M - Institut de Mathématiques de Marseille

Brotbek--Darondeau and Xie independently proved that sufficiently generic complete intersections in projective spaces whose dimension are at least equal to their codimension have ample cotangent bundle. In this paper, we study the ampleness of Schur powers of cotangent bundles of generic complete intersections in projective spaces, and present some applications in hyperbolicity.

Mots clés: Ampleness; Cotangent bundle; Schur power; hyperbolicity

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

Antoine Etesse. AMPLENESS OF SCHUR POWERS OF COTANGENT BUNDLES AND p-HYPERBOLICITY. 2019. ⟨hal-02190039v1⟩