Foliation Theory in Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foliation Theory in Algebraic Geometry write by Paolo Cascini. This book was released on 2016-03-30. Foliation Theory in Algebraic Geometry available in PDF, EPUB and Kindle. 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
Complex Algebraic Foliations
Complex Algebraic Foliations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Algebraic Foliations write by Alcides Lins Neto. This book was released on 2020-02-24. Complex Algebraic Foliations available in PDF, EPUB and Kindle. This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the theory and utilizing methods from algebraic and complex geometry along with techniques from complex dynamics and several complex variables. The result is a solid introduction to the theory of foliations, covering basic concepts through modern results on the structure of foliations on complex projective spaces.
Birational Geometry of Foliations
Birational Geometry of Foliations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Birational Geometry of Foliations write by Marco Brunella. This book was released on 2015-03-25. Birational Geometry of Foliations available in PDF, EPUB and Kindle. The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.
Geometry, Dynamics And Topology Of Foliations: A First Course
Geometry, Dynamics And Topology Of Foliations: A First Course - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry, Dynamics And Topology Of Foliations: A First Course write by Bruno Scardua. This book was released on 2017-02-16. Geometry, Dynamics And Topology Of Foliations: A First Course available in PDF, EPUB and Kindle. The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments.In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations.
Foliations II
Foliations II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foliations II write by Alberto Candel. This book was released on 2000. Foliations II available in PDF, EPUB and Kindle. 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 foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to further study using the extensive available literature.
