Birational Geometry of Foliations electronic resource by Marco Brunella.
Material type: TextSeries: IMPA MonographsPublication details: Cham : Springer International Publishing : Imprint: Springer, 2015Description: XIV, 130 p. 35 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319143101Subject(s): mathematics | Geometry | Hyperbolic Geometry | Number theory | Mathematics | Hyperbolic Geometry | Number Theory | GeometryDDC classification: 516.9 LOC classification: QA685Online resources: Click here to access onlineIntroduction: From Surfaces to Foliations -- Local Theory -- Foliations and Line Bundles -- Index Theorems -- Some Special Foliations -- Minimal Models -- Global 1-forms and Vector Fields -- The Rationality Criterion -- Numerical Kodaira Dimension -- Kodaira Dimension -- References.
The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.
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