Stability of holomorphic foliations with split tangent sheaf
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 existen...
Guardado en:
| Publicado: |
2008
|
|---|---|
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029327_v130_n2_p413_Cukierman http://hdl.handle.net/20.500.12110/paper_00029327_v130_n2_p413_Cukierman |
| Aporte de: |
| Sumario: | 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 ℙn for every n ≥ 3. © 2008 by The Johns Hopkins University Press. |
|---|