
Foliation Theory in Algebraic Geometry
Springer (Publisher)
Published on 31. March 2016
Book
Hardback
VII, 216 pages
978-3-319-24458-7 (ISBN)
Description
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 geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Research
Illustrations
4 s/w Abbildungen
VII, 216 p. 4 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 18 mm
Weight
512 gr
ISBN-13
978-3-319-24458-7 (9783319244587)
DOI
10.1007/978-3-319-24460-0
Schweitzer Classification
Other editions
Additional editions

Paolo Cascini | James McKernan | Jorge Vitório Pereira
Foliation Theory in Algebraic Geometry
Book
04/2018
Springer
€160.49
Shipment within 10-15 days

Paolo Cascini | James McKernan | Jorge Vitório Pereira
Foliation Theory in Algebraic Geometry
E-Book
03/2016
Springer
€149.79
Available for download
Persons
Paolo CasciniDepartment of Mathematics, Imperial College London, London SW72AZ, UKE-mail address: p.cascini@imperial.ac.uk James McKernanDepartment of Mathematics, University of California, San Diego,9500 Gilman Drive # 0112, La Jolla, CA 92093-0112, USAE-mail address: jmckernan@math.ucsd.edu Jorge Vitorio PereiraIMPA, Estrada Dona Casto
Content
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.