Screen LibraryBirational geometry, rational curves, and arithmetic
Covers recent advances in higher-dimensional birational geometry with special regard to arithmetic applications, highlighting the tight connections between arithmetic and geometry. Intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a s...
Saved in:
| Corporate Authors: | |
|---|---|
| Group Author: | ; ; |
| Published: |
|
| Literature type: | Electronic eBook |
| Language: | English |
| Series: |
Simons Symposia
|
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-1-4614-6482-2 |
| Summary: |
Covers recent advances in higher-dimensional birational geometry with special regard to arithmetic applications, highlighting the tight connections between arithmetic and geometry. Intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. |
| Carrier Form: | 1 online resource (ix, 319 p.) : ill. |
| Bibliography: | Includes bibliographical references. |
| ISBN: |
9781461464822 (electronic bk.) 146146482X (electronic bk.) |
| Index Number: | QA564 |
| CLC: | O187 |
| Contents: |
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 / |