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arxiv: 1006.3706 · v1 · submitted 2010-06-18 · 🧮 math.CV

Perturbation of Baum-Bott residues

Filippo Bracci , Tatsuo Suwa This is my paper
classification 🧮 math.CV
keywords residuesbaum-bottcomputecontinuouslydeformationseffectivefoliationsholomorphic
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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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    The authors develop a logarithmic deformation theory for foliations on normal crossings varieties arising as semistable degenerations and prove that the corresponding moduli functor admits a versal hull.