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Foliation theory in algebraic geometry

Cascini, Paolo.

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Foliation theory in algebraic geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Foliation theory in algebraic geometry/ edited by Paolo Cascini, James McKernan, Jorge Vitorio Pereira.
other author:	Cascini, Paolo.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	vii, 216 p. :ill., digital ;24 cm.
[NT 15003449]:	On Fano Foliations 2 -- Rational Curves on Foliated Varieties -- Local Structure of Closed Symmetric 2-Differentials -- Aspects of the Geometry of Varieties with Canonical Singularities -- Geometric Structures and Substructures on Uniruled Projective Manifolds -- Foliations, Shimura Varieties and the Green-Griffiths-Lang Conjecture -- On the Structure of Codimension I Foliations with Pseudoeffective Conormal Bundle.
Contained By:	Springer eBooks
Subject:	Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-24460-0
ISBN:	9783319244600

Foliation theory in algebraic geometry
Foliation theory in algebraic geometry[electronic resource] /edited by Paolo Cascini, James McKernan, Jorge Vitorio Pereira. - Cham :Springer International Publishing :2016. - vii, 216 p. :ill., digital ;24 cm. - Simons symposia,2365-9564. - Simons symposia..

On Fano Foliations 2 -- Rational Curves on Foliated Varieties -- Local Structure of Closed Symmetric 2-Differentials -- Aspects of the Geometry of Varieties with Canonical Singularities -- Geometric Structures and Substructures on Uniruled Projective Manifolds -- Foliations, Shimura Varieties and the Green-Griffiths-Lang Conjecture -- On the Structure of Codimension I Foliations with Pseudoeffective Conormal Bundle.

Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geomet ry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study.

ISBN: 9783319244600

Standard No.: 10.1007/978-3-319-24460-0doiSubjects--Topical Terms:

515831
Mathematics.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Foliation theory in algebraic geometry
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245 0 0 $a Foliation theory in algebraic geometry $h [electronic resource] / $c edited by Paolo Cascini, James McKernan, Jorge Vitorio Pereira.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a vii, 216 p. : $b ill., digital ; $c 24 cm.
490 1 $a Simons symposia, $x 2365-9564
505 0 $a On Fano Foliations 2 -- Rational Curves on Foliated Varieties -- Local Structure of Closed Symmetric 2-Differentials -- Aspects of the Geometry of Varieties with Canonical Singularities -- Geometric Structures and Substructures on Uniruled Projective Manifolds -- Foliations, Shimura Varieties and the Green-Griffiths-Lang Conjecture -- On the Structure of Codimension I Foliations with Pseudoeffective Conormal Bundle.
520 $a Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geomet ry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study.
650 0 $a Mathematics. $3 515831
650 0 $a Geometry, Algebraic. $3 532048
650 2 4 $a Algebraic Geometry. $3 893861
700 1 $a Cascini, Paolo. $3 2186910
700 1 $a McKernan, James. $3 633093
700 1 $a Pereira, Jorge Vitorio. $3 2134864
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Simons symposia. $3 2186911
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-24460-0
950 $a Mathematics and Statistics (Springer-11649)