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...

Descripción completa

Guardado en:
Detalles Bibliográficos
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:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00029327_v130_n2_p413_Cukierman
record_format dspace
spelling paper:paper_00029327_v130_n2_p413_Cukierman2023-06-08T14:23:06Z 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 existence of rigid codimension one foliations of degree n - 1 on ℙn for every n ≥ 3. © 2008 by The Johns Hopkins University Press. 2008 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
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
title Stability of holomorphic foliations with split tangent sheaf
spellingShingle Stability of holomorphic foliations with split tangent sheaf
title_short Stability of holomorphic foliations with split tangent sheaf
title_full Stability of holomorphic foliations with split tangent sheaf
title_fullStr Stability of holomorphic foliations with split tangent sheaf
title_full_unstemmed Stability of holomorphic foliations with split tangent sheaf
title_sort stability of holomorphic foliations with split tangent sheaf
publishDate 2008
url 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
_version_ 1768542387752140800

Ejemplares similares