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Differentiable Invariants of Holomorphic Foliations.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Dec2022, Vol. 53 Issue 4, p1107-1130. 24p. - Publication Year :
- 2022
-
Abstract
- In this paper we study differentiable equivalences of germs of singular holomorphic foliations in dimension two. We prove that the Camacho–Sad indices are invariant by such equivalences. We also prove that the Baum–Bott index is a differentiable invariant for some classes of foliations. As a corollary we show that generic degree two holomorphic foliations of P 2 are differentiably rigid. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FOLIATIONS (Mathematics)
*VECTOR fields
Subjects
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 53
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 159896145
- Full Text :
- https://doi.org/10.1007/s00574-022-00297-6