Mathematics – Complex Variables
Scientific paper
2005-11-02
American Journal of Mathematics Vol. 130, No. 2, pp. 413-439, 2008.
Mathematics
Complex Variables
Final version, to appear in American Journal of Math
Scientific paper
10.1353/ajm.2008.0011
We show that the set of singular holomorphic foliations of the projective spaces with split tangent sheaf and with good singular set is open in the space of holomorphic foliations. As applications we present a generalization of a result by Camacho-Lins Neto about linear pull-back foliations, we give a criterium for the rigidity of $\mathcal L$-foliations of codimension $k \ge 2$ and prove a conjecture by Cerveau-Deserti about the rigidity of a codimension one $\mathcal L$-foliation of $\mathbb P^4$. These results allow us to exhibit some previously unknown irreducible components of the spaces of singular holomorphic foliations.
Cukierman Fernando
Pereira Jorge Vitório
No associations
LandOfFree
Stability of Holomorphic Foliations with Split Tangent Sheaf does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability of Holomorphic Foliations with Split Tangent Sheaf, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of Holomorphic Foliations with Split Tangent Sheaf will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-639883