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Geometry Over Nonclosed Fields

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...

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Corporate Author: SpringerLink (Online service)
Other Authors: Bogomolov, Fedor. (Editor, http://id.loc.gov/vocabulary/relators/edt), Hassett, Brendan. (Editor, http://id.loc.gov/vocabulary/relators/edt), Tschinkel, Yuri. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Simons Symposia,
Subjects:
Algebraic geometry.
Algebraic Geometry.
Online Access:https://doi.org/10.1007/978-3-319-49763-1
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.

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