Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 papers)
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Foliation Theory in Algebraic Geometry
Editors: Paolo Cascini, James McKernan, Jorge Vitório Pereira
Series Title: Simons Symposia
DOI: https://doi.org/10.1007/978-3-319-24460-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-24458-7Published: 31 March 2016
Softcover ISBN: 978-3-319-79632-1Published: 19 April 2018
eBook ISBN: 978-3-319-24460-0Published: 30 March 2016
Series ISSN: 2365-9564
Series E-ISSN: 2365-9572
Edition Number: 1
Number of Pages: VII, 216
Number of Illustrations: 4 b/w illustrations
Topics: Algebraic Geometry