Holomorphic distributions on fano threefolds

Abstract

This thesis is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano three dimensional manifolds, with Picard number equal to one. We also studied the singular set of singularholomorphic distributions in this manifolds. The goal of this work is to characterize this distributions whose tangent sheaf and conormal sheaf are arithmetically Cohen Macaulay (aCM), i.e. has no intermediate cohomology.