Foliation Theory in Algebraic Geometry

Name: Foliation Theory in Algebraic Geometry
Brand: Springer
SKU: 9783319796321
Price: 10900.0 INR
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by Paolo Cascini

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ISBN13: 9783319796321
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: April 19, 2018
Pages: 216
Original Price: EUR 149.99
Language: English
Edition: Softcover Repri
Item Weight: 331 grams
BISAC Subject(s): Geometry / Algebraic

About The Book

From the Back Cover
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.

About The Author

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

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