Birational Geometry, Rational Curves, and Arithmetic

Birational Geometry, Rational Curves, and Arithmetic edited by Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel.

This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.  It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions.  Classically, arithmetic is the stu...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Bogomolov, Fedor (Editor), Hassett, Brendan (Editor), Tschinkel, Yuri (Editor)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Simons Symposia,
Springer eBook Collection.
Subjects:
Algebraic geometry.
Number theory.
Geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Foreword
  • Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces
  • F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products
  • F. Bogomolov, I. Karzhemanov, and K. Kuyumzhiyan, Unirationality and existence of infinitely transitive models
  • I. Cheltsov, L. Katzarkov, and V. Przyjalkowski, Birational geometry via moduli spaces
  • O. Debarre, Curves of low degrees on projective varieties
  • S. Kebekus, Uniruledness criteria and applications
  • S. Kovács, The cone of curves of K3 surfaces revisited
  • V. Lazić, Around and beyond the canonical class
  • C. Liedtke, Algebraic surfaces in positive characteristic
  • A. Varilly-Alvarado, Arithmetic of Del Pezzo surfaces.

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