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Zbl 0969.14009
Brunella, Marco
Minimal models of foliated algebraic surfaces. (English)
[J] Bull. Soc. Math. Fr. 127, No.2, 289-305 (1999). ISSN 0037-9484

Summary: We study holomorphic foliations on algebraic surfaces from the birational point of view. We introduce a notion of minimal model and we classify those foliations which do not have such a minimal model in their birational class. An application to the dynamical study of polynomial diffeomorphisms is given.

MSC 2000:: *14E30 Minimal models
37F75 Holomorphic foliations and vector fields
14J26 Surfaces (rational and ruled)
14E07 Birational automorphisms, Cremona group and generalizations
32S65 Singularities of holomorphic vector fields
57R50 Diffeomorphisms

Keywords: holomorphic foliations; algebraic surfaces; minimal models; birational transformations; polynomial diffeomorphisms

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