Birational Geometry, Rational Curves, and Arithmetic
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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| Other Authors: | , , |
| Language: | English |
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New York, NY :
Springer New York : Imprint: Springer,
2013.
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| Edition: | 1st ed. 2013. |
| Series: | Simons Symposia,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-1-4614-6482-2 |
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.