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Birational geometry of foliations

Brunella, Marco.

Birational geometry of foliations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Birational geometry of foliationsby Marco Brunella.
Author:	Brunella, Marco.
Published:	Cham :Springer International Publishing :2015.
Description:	xiv, 130 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Foliations (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-14310-1
ISBN:	9783319143101 (electronic bk.)

Birational geometry of foliations
Brunella, Marco.

Birational geometry of foliations[electronic resource] /by Marco Brunella. - Cham :Springer International Publishing :2015. - xiv, 130 p. :ill., digital ;24 cm. - IMPA monographs ;v.1. - IMPA monographs ;v.2..

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.

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.

ISBN: 9783319143101 (electronic bk.)

Standard No.: 10.1007/978-3-319-14310-1doiSubjects--Topical Terms:

340148
Foliations (Mathematics)

LC Class. No.: QA613.62

Dewey Class. No.: 514.72

Birational geometry of foliations
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020 $a 9783319143095 (paper)
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035 $a 978-3-319-14310-1
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100 1 $a Brunella, Marco. $3 715988
245 1 0 $a Birational geometry of foliations $h [electronic resource] / $c by Marco Brunella.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiv, 130 p. : $b ill., digital ; $c 24 cm.
490 1 $a IMPA monographs ; $v v.1
505 0 $a 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.
520 $a 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.
650 0 $a Foliations (Mathematics) $3 340148
650 0 $a Geometry. $3 183883
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Hyperbolic Geometry. $3 684054
650 2 4 $a Number Theory. $3 274059
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a IMPA monographs ; $v v.2. $3 714413
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-14310-1
950 $a Mathematics and Statistics (Springer-11649)