Foliation Theory in Algebraic Geometry by Paolo Cascini (English) Hardcover Book

Description: Foliation Theory in Algebraic Geometry by Paolo Cascini, James McKernan, Jorge Vitório Pereira 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New 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 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. Author Biography Paolo CasciniDepartment of Mathematics, Imperial College London, London SW72AZ, UKE-mail address: James McKernanDepartment of Mathematics, University of California, San Diego,9500 Gilman Drive # 0112, La Jolla, CA 92093-0112, USAE-mail address: Jorge Vitorio PereiraIMPA, Estrada Dona Casto Table of Contents 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. Details ISBN3319244582 Language English ISBN-10 3319244582 ISBN-13 9783319244587 Format Hardcover Short Title FOLIATION THEORY IN ALGEBRAIC Media Book DEWEY 516.35 Pages 216 Year 2016 Series Simons Symposia Imprint Springer International Publishing AG Place of Publication Cham Country of Publication Switzerland Edited by Jorge Vitório Pereira Edition 1st DOI 10.1007/978-3-319-24460-0 Publication Date 2016-03-31 UK Release Date 2016-03-31 Author Jorge Vitório Pereira Publisher Springer International Publishing AG Edition Description 1st ed. 2016 Alternative 9783319796321 Audience Professional & Vocational Illustrations 4 Illustrations, black and white; VII, 216 p. 4 illus. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:99490028;

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