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...
Guardat en:
| Autor principal: | |
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| Altres autors: | , |
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2013. |
| Col·lecció: | Simons Symposia
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| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Birational geometry, rational curves, and arithmetic, Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel, editors, New York, Springer, 2013, 1 vol. (IX-319 p.), Simons symposia, 978-1-4614-6481-5 • Birational Geometry, Rational Curves, and Arithmetic, Texte imprimé, 9781461464839 • Birational Geometry, Rational Curves, and Arithmetic, Texte imprimé, 9781493901586 |
Taula de continguts:
- 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