Geometry Over Nonclosed Fields

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bogomolov, Fedor (Editor), Hassett, Brendan (Editor), Tschinkel, Yuri (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Simons Symposia,
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new...

Table of Contents:

• Preface
• "On the Kobayashi pseudometric, complex automorphisms and hyperahler manifolds" by Fedor Bogomolov, Ljudmila Kamenova, Steven Lu, and Misha Verbitsky
• "Lines on cubic hypersurfaces over finite fields" by Olivier Debarre, Antonio Laface, and Xavier Roulleau
• "Perverse sheaves of categories and non-rationality" by Andrew Harder, Ludmil Katzarkov, and Yijia Liu
• "Divisor classes and the virtual canonical bundle for genus zero maps" by A. J. de Jong and Jason Starr
• "A stronger derived Torelli theorem for K3 surfaces" by Max Lieblich and Martin Olsson
• "Morphisms to Brauer-Severi varieties, with applications to del Pezzo surfaces" by Christian Liedtke
• "Arithmetic of K3 surfaces" by Anthony Varilly-Alvarado
• "One-dimensional cohomology with finite coefficients and roots of unity" by Yuri G. Zarhin.