Birational geometry, rational curves, and arithmetic

"This volume is an outgrowth of the Simons Symposium 'Geometry over Non-Closed Fields, ' which took place ... on the island of St. John in February 2012"--Preface.

Includes bibliographical references.

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.