Perturbation of Baum-Bott residues
Filippo Bracci, Tatsuo Suwa
TL;DR
This paper demonstrates that Baum-Bott residues change continuously when holomorphic foliations are smoothly deformed, offering a practical method for computing these residues.
Contribution
It establishes the continuity of Baum-Bott residues under deformations and introduces an effective computational approach.
Findings
Baum-Bott residues vary continuously under smooth deformations.
Provides a method for effective residue computation.
Enhances understanding of foliation invariants.
Abstract
We prove that Baum-Bott residues vary continuously under smooth deformations of holomorphic foliations. This provides an effective way to compute residues.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Point processes and geometric inequalities