Birational Geometry of Foliations

Softcover Nachdruck of the original 1. Auflage 2015
ISBN: 978-3-319-36565-7
Verlag: Springer

Buch, Englisch, Band 1, 130 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 2292 g

Reihe: IMPA Monographs

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.

Zielgruppe

Research

Autoren/Hrsg.

Brunella, Marco

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Analytische Geometrie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.

Über Autor(innen)

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.