Foliation Theory in Algebraic Geometry

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Foliation Theory in Algebraic Geometry by , Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783319244600
Publisher: Springer International Publishing Publication: March 30, 2016
Imprint: Springer Language: English
Author:
ISBN: 9783319244600
Publisher: Springer International Publishing
Publication: March 30, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Prostate Cancer by
Cover of the book Social Video Content Delivery by
Cover of the book The Modes of Human Rights Literature by
Cover of the book Metabolic Engineering for Bioprocess Commercialization by
Cover of the book Suffering and the Intelligence of Love in the Teaching Life by
Cover of the book Monotonicity Failures Afflicting Procedures for Electing a Single Candidate by
Cover of the book The Affirmations of Reason by
Cover of the book Mitochondrial Dysfunction in Neurodegenerative Disorders by
Cover of the book Skull Base Surgery of the Posterior Fossa by
Cover of the book Civil Protection Cooperation in the European Union by
Cover of the book The European Union and Europe's New Regionalism by
Cover of the book Biology, Productivity and Bioenergy of Timber-Yielding Plants by
Cover of the book Faster than Nyquist Signaling by
Cover of the book Generative Mechanisms Transforming the Social Order by
Cover of the book Carbon Sequestration for Climate Change Mitigation and Adaptation by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy