Birational geometry of foliations
Foliations (Mathematics) Geometry sähkökirjat
Springer
2015
EISBN 9783319143101
Introduction: 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.
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.
