Back to Search
Start Over
Baum-Bott indices for curves of singularities.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Sep2016, Vol. 47 Issue 3, p883-910. 28p. - Publication Year :
- 2016
-
Abstract
- Let F be a holomorphic foliation on P by curves such that the components of its singular locus are curves C and points p . We compute the Baum-Bott indices BB ( F, C ) in terms of the main invariants of F and C . We also determine the sum of the BB ( F, p ) in terms of the same invariants.When φ corresponds to the determinant, the latter result generalizes, from special to all holomorphic foliations, a formula for the number of isolated singularities of F, counted with multiplicities. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 47
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 118221666
- Full Text :
- https://doi.org/10.1007/s00574-016-0195-1