Perturbation of Baum-Bott residues. (English) Zbl 1332.32017
Summary: We prove that Baum-Bott residues vary continuously in an appropriate sense under smooth deformations of holomorphic foliations. This provides an effective way of computing residues.
MSC:
| 32G05 | Deformations of complex structures |
| 37F75 | Dynamical aspects of holomorphic foliations and vector fields |
| 32S65 | Singularities of holomorphic vector fields and foliations |
| 32A27 | Residues for several complex variables |
