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Birational Geometry of Foliations: IMPA Monographs, cartea 1

Autor Marco Brunella
en Limba Engleză Hardback – 7 apr 2015
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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Specificații

ISBN-13: 9783319143095
ISBN-10: 3319143093
Pagini: 130
Ilustrații: XIV, 130 p. 35 illus.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.38 kg
Ediția:2015
Editura: Springer International Publishing
Colecția Springer
Seria IMPA Monographs

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

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