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Foliation theory in algebraic geometry [electronic resource] / Paolo Cascini, James McKernan and Jorge Vitório Pereira, editors.

Cascini, Paolo, editor.; McKernan, James, editor.; Pereira, Jorge Vitório, editor.
2016
QA564
Available Online
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Title
Foliation theory in algebraic geometry [electronic resource] / Paolo Cascini, James McKernan and Jorge Vitório Pereira, editors.
ISBN
9783319244600 (electronic book)
3319244604 (electronic book)
9783319244587
DOI
https://doi.org/10.1007/978-3-319-24460-0
Published
Cham : Springer, 2016.
Copyright
©2016
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-319-24460-0 doi
Call Number
QA564
Dewey Decimal Classification
516.35
Summary
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.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (viewed April 4, 2016).
Added Author
Cascini, Paolo, editor.
McKernan, James, editor.
Pereira, Jorge Vitório, editor.
Series
Simons symposia.
Available in Other Form
Print version: 9783319244587
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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.

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