On the Diverio-Trapani Conjecture

Abstract

In this paper we establish effective lower bounds on the degrees of the Debarre and Kobayashi conjectures. Then we study a more general conjecture proposed by Diverio-Trapani on the ampleness of jet bundles of general complete intersections in complex projective spaces.

Annales scientifiques de l'Ecole normale supérieure, In press

References in corpus (4)

• Effectivity in the Hyperbolicity-related problems
• Proof of the Kobayashi conjecture on the hyperbolicity of very general hypersurfaces
• On the ampleness of the cotangent bundles of complete intersections
• Generalized Brotbek's symmetric differential forms and applications

Cited by in corpus (4)

• Projective completions of graded unipotent quotients
• On the positivity of the logarithmic cotangent bundle
• A remark on the intersection of plane curves
• Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree