Codimension one Fano distributions on Fano manifolds

Abstract

In this paper we investigate codimension one Fano distributions on Fano manifolds with Picard number one. We classify Fano distributions of maximal index on complete intersections in weighted projective spaces, Fano contact manifolds, Grassmannians of lines and their linear sections, and describe their moduli spaces. As a consequence, we obtain a classification of codimension one del Pezzo distributions on Fano manifolds with Picard number one.

23 pages

References in corpus (2)

• Cohomological characterizations of projective spaces and hyperquadrics
• Birationality of the tangent map for minimal rational curves

Cited by in corpus (3)

• On holomorphic distributions on Fano threefolds
• Automorphisms of weighted complete intersections
• Del Pezzo foliations with log canonical singularities