DESCRIÇÃO
Apresenta a classificação biracional de folheações holomorfas de superfícies.
Discute a teoria introduzida por L.G. Mendes e M. McQuillan.
Primeiro livro publicado na série IMPA Monographs.
CONTEÚDO
Introduction: From Surfaces to Foliations
1 Local Theory
1 Reduced Singularities and Their Separatrices
2 Blowing-up and Resolution
2 Foliations and Line Bundles
1 Basic Definitions
2 Degrees of the Bundles on Curves
3 Some Examples
3 Index Theorems
1 Baum-Bott Formula
2 Camacho-Sad Formula
3 The Separatrix Theorem and its Singular Generalization
4 An Index Theorem for Invariant Measures
5 Regular Foliations on Rational Surfaces
4 Some Special Foliations
1 Riccati Foliations
3 Turbulent Foliations
5 Minimal Models
1 Minimal Models and Relatively Minimal Models
2 Existence of Minimal Models
6 Global 1-Form and Vector Fields
1 Holomorphic and Logarithmic l-Forms
2 A Theorem of Jouanolou
3 Holomorphic Vector Fields
7 The Rationality Criterion
1 Statement and First Consequences
2 Foliations in Positive Characteristic
3 Proof of Theorem 7.1
4 A Proof by Bogomolov and McQuillan
5 Cosntruction od Special Metrics
8 Numerical Kodaira Dimension
1 Zariski Decomposition and Numerical Kodaira Dimension
2 The Structure of the Nagative Part
3 Foliations with Vanishing Numerical Kodaira Dimension
4 Contraction of The Negative Part and Canonical Singularities
9 Kodaira Dimension
1 Kodaira Dimension of Foliations
2 Foliations of Kodaira Dimension 1
3 Foliations of Kodaira Dimension 0
4 Foliations with an Entire Leaf
5 Foliations of Negative Kodaira Dimension
References
Index
SOBRE O AUTOR
Marco Brunella
COMPRE ON-LINE
