Stability of holomorphic foliations with split tangent sheaf

• Autores: Fernando Cukierman, Jorge Vitório Pereira
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 2, 2008, págs. 413-439
• Idioma: inglés
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• Resumen

  • 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.