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Transformation groups of holomorphic foliations. (English) Zbl 1039.32027

The authors prove that the group of self bimeromorphisms of a foliation of general type on a projective surface is finite. In the course of the proof, they study the structure of foliations of arbitrary codimension which possess an infinite linear algebraic group of automorphisms.

MSC:

32L05 Holomorphic bundles and generalizations
53C12 Foliations (differential geometric aspects)
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