Birational Geometry of Foliations
Title | Birational Geometry of Foliations PDF eBook |
Author | Marco Brunella |
Publisher | Springer |
Pages | 140 |
Release | 2015-03-25 |
Genre | Mathematics |
ISBN | 3319143107 |
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.
Foliation Theory in Algebraic Geometry
Title | Foliation Theory in Algebraic Geometry PDF eBook |
Author | Paolo Cascini |
Publisher | Springer |
Pages | 223 |
Release | 2016-03-30 |
Genre | Mathematics |
ISBN | 3319244604 |
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
Handbook of Geometry and Topology of Singularities VI: Foliations
Title | Handbook of Geometry and Topology of Singularities VI: Foliations PDF eBook |
Author | Felipe Cano |
Publisher | Springer Nature |
Pages | 500 |
Release | |
Genre | |
ISBN | 3031541723 |
Introduction to the Geometry of Foliations
Title | Introduction to the Geometry of Foliations PDF eBook |
Author | Gilbert Hector |
Publisher | |
Pages | 252 |
Release | 2014-01-15 |
Genre | |
ISBN | 9783322901163 |
Introduction to the Geometry of Foliations
Title | Introduction to the Geometry of Foliations PDF eBook |
Author | Gilbert Hector |
Publisher | |
Pages | 0 |
Release | |
Genre | |
ISBN |
Introduction to the Geometry of Foliations
Title | Introduction to the Geometry of Foliations PDF eBook |
Author | Gilbert Hector |
Publisher | |
Pages | 0 |
Release | 1981 |
Genre | |
ISBN |
Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)
Title | Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) PDF eBook |
Author | Sirakov Boyan |
Publisher | World Scientific |
Pages | 5396 |
Release | 2019-02-27 |
Genre | Mathematics |
ISBN | 9813272899 |
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.