Stability of pullbacks of foliations on weighted projective spaces

Abstract

We show a stability-type theorem for foliations on projective spaces which arise as pullbacks of foliations with a split tangent sheaf on weighted projective spaces. As a consequence, we will be able to construct many irreducible components of the moduli spaces of foliations of codimension 1 on Pn, most of them being previously unknown. This result also provides an alternative and unified proof for the stability of other families of foliations.