Birational geometry, rational curves, and arithmetic
Birational geometry, rational curves, and arithmetic
edited by Fedor Bogomolov, Brendan Hassett and Yuri Tschinkel
- New York : Springer, ©2013
- ix, 319 p. : ill. ; 25 cm.
- Simons symposia .
- Simons symposia. .
"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 / The Birational Geometry of the Hilbert Scheme of Points on Surfaces / Isoclinism and Stable Cohomology of Wreath Products / Unirationality and Existence of Infinitely Transitive Models / Birational Geometry via Moduli Spaces / Curves of Low Degrees on Fano Varieties / Uniruledness Criteria and Applications / The Cone of Curves of K3 Surfaces Revisited / Around and Beyond the Canonical Class / On the Ubiquity of Twisted Sheaves / Algebraic Surfaces in Positive Characteristic / Arithmetic of Del Pezzo surfaces / Ivan Arzhantsev, Hubert Flenner -- Aaron Bertram, Izzet Coskun -- Fedor Bogomolov, Christian Böhning -- Fedor Bogomolov, Ilya Karzhemanov -- Ivan Cheltsov, Ludmil Katzarkov -- Olivier Debarre -- Stefan Kebekus -- Sándor J. Kovács -- Vladimir Lazić -- Max Lieblich -- Christian Liedtke -- Anthony Várilly-Alvarado.
9781461464815
Geometry, Algebraic
Number theory
QA564 / .B493 2013
516.3 / BOG-B
"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 / The Birational Geometry of the Hilbert Scheme of Points on Surfaces / Isoclinism and Stable Cohomology of Wreath Products / Unirationality and Existence of Infinitely Transitive Models / Birational Geometry via Moduli Spaces / Curves of Low Degrees on Fano Varieties / Uniruledness Criteria and Applications / The Cone of Curves of K3 Surfaces Revisited / Around and Beyond the Canonical Class / On the Ubiquity of Twisted Sheaves / Algebraic Surfaces in Positive Characteristic / Arithmetic of Del Pezzo surfaces / Ivan Arzhantsev, Hubert Flenner -- Aaron Bertram, Izzet Coskun -- Fedor Bogomolov, Christian Böhning -- Fedor Bogomolov, Ilya Karzhemanov -- Ivan Cheltsov, Ludmil Katzarkov -- Olivier Debarre -- Stefan Kebekus -- Sándor J. Kovács -- Vladimir Lazić -- Max Lieblich -- Christian Liedtke -- Anthony Várilly-Alvarado.
9781461464815
Geometry, Algebraic
Number theory
QA564 / .B493 2013
516.3 / BOG-B