Birational Geometry of Foliations [Paperback]

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.

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.Marco Brunella was a CNRS researcher working at Institut de Mathematiques de Bourgogne in Dijon, France. He has produced extraordinary mathematical work, focusing on the study of Holomorphic Foliations and Complex Geometry. Dr. Brunella passed away in January 2012, but his profound, creative mathematics continues to have an impact on geometers and analysts.

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.

Presents the birational classification of holomorphic foliations of surfaces

Discuss the?theory introduced by L.G. Mendes and M. McQuillan

First book published in IMPA Monographs series

GB