Foliation Theory in Algebraic Geometry

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  • Foliation Theory in Algebraic Geometry Book Detail

  • Author : Paolo Cascini
  • Release Date : 2016-03-30
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 223
  • ISBN 13 : 3319244604
  • File Size : 75,75 MB

Foliation Theory in Algebraic Geometry by Paolo Cascini PDF Summary

Book 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./div

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Foliation Theory in Algebraic Geometry

Foliation Theory in Algebraic Geometry

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Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation th

Complex Algebraic Foliations

Complex Algebraic Foliations

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This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the theory and utilizing meth

Birational Geometry of Foliations

Birational Geometry of Foliations

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The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan

Foliations II

Foliations II

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This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on folia