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Birational geometry, rational curves, and arithmetic

Author: Fedor Bogomolov; Brendan Hassett; Yuri Tschinkel
Publisher: New York, NY : Springer, ©2013.
Series: Simons Symposia
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Covers recent advances in higher-dimensional birational geometry with special regard to arithmetic applications, highlighting the tight connections between arithmetic and geometry. Intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems.
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fedor Bogomolov; Brendan Hassett; Yuri Tschinkel
ISBN: 9781461464822 146146482X
OCLC Number: 844350184
Description: 1 online resource.
Contents: Infinite Transitivity on Affine Varieties / Ivan Arzhantsev, Hubert Flenner --
The Birational Geometry of the Hilbert Scheme of Points on Surfaces / Aaron Bertram, Izzet Coskun --
Isoclinism and Stable Cohomology of Wreath Products / Fedor Bogomolov, Christian Böhning --
Unirationality and Existence of Infinitely Transitive Models / Fedor Bogomolov, Ilya Karzhemanov --
Birational Geometry via Moduli Spaces / Ivan Cheltsov, Ludmil Katzarkov --
Curves of Low Degrees on Fano Varieties / Olivier Debarre --
Uniruledness Criteria and Applications / Stefan Kebekus --
The Cone of Curves of K3 Surfaces Revisited / Sándor J. Kovács --
Around and Beyond the Canonical Class / Vladimir Lazić --
On the Ubiquity of Twisted Sheaves / Max Lieblich --
Algebraic Surfaces in Positive Characteristic / Christian Liedtke --
Arithmetic of Del Pezzo surfaces / Anthony Várilly-Alvarado.
Series Title: Simons Symposia
Responsibility: Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel, editors.
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Abstract:

Covers recent advances in higher-dimensional birational geometry with special regard to arithmetic applications, highlighting the tight connections between arithmetic and geometry. Intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems.

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