Resumen de Stability of holomorphic foliations with split tangent sheaf

Fernando Cukierman, Jorge Vitório Pereira

• We show that the set of singular holomorphic foliations on projective spaces with split tangent sheaf and good singular set is open in the space of holomorphic foliations. We also give a cohomological criterion for the rigidity of holomorphic foliations induced by group actions and prove the existence of rigid codimension one foliations of degree n - 1 on P^n for every n = 3.