Codimension one distributions and stable rank 2 reflexive sheaves on threefolds

Abstract % We show that codimension one distributions with at most isolated singularities on certain smooth projective threefolds Picard rank have stable tangent sheaves. The ideas in the proof of this fact are then applied to characterization irreducible components moduli space 2 reflexive sheaves $\p3$, and construction prescribed Chern classes general threefolds. also prove if $\sG$ is a subfoliation distribution $\sF$ singularities, $\sing(\sG)$ curve. As consequence, we give criterion decide whether globally given as intersection another distribution. Turning our attention non determine number connected pure 1-dimensional component singular scheme.