Birational Geometry of Foliations
1st Edition
Published on 25. March 2015
XIV, 130 pages
978-3-319-14310-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIV, 130 p. 35 illus.
File size
2,14 MB
ISBN-13
978-3-319-14310-1 (9783319143101)
DOI
10.1007/978-3-319-14310-1
Schweitzer Classification
Other editions
Additional editions
Marco Brunella
Birational Geometry of Foliations
Book
04/2015
Springer
€117.69
Shipment within 10-15 days
Person
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.
Content
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.
