Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four (1801.03280v1)

Abstract: Non-dicritical codimension one foliations on projective spaces of dimension four or higher always have an invariant algebraic hypersurface. The proof relies on a strengthening of a result by Rossi on the algebraization/continuation of analytic subvarieties of projective spaces.