| 书目名称 | Geometry Over Nonclosed Fields |
| 编辑 | Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel |
| 视频video | http://file.papertrans.cn/384/383751/383751.mp4 |
| 概述 | Covers exciting new research in the fields of classical algebraic geometry and arithmetic geometry.Examines recent research and results concerning K3-surfaces, including formulations of the Torelli Th |
| 丛书名称 | Simons Symposia |
| 图书封面 |  |
| 描述 | 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 impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional generalizations. One main recent insight the book covers is the idea that the geometry of rational curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The implementation of this idea led to proofs of long-standing conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail. . |
| 出版日期 | Conference proceedings 2017 |
| 关键词 | algebraic geometry; rational curves; K3 surfaces; cubic four-folds; hyper-Kahler manifolds |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-49763-1 |
| isbn_softcover | 978-3-319-84235-6 |
| isbn_ebook | 978-3-319-49763-1Series ISSN 2365-9564 Series E-ISSN 2365-9572 |
| issn_series | 2365-9564 |
| copyright | Springer International Publishing AG 2017 |
|Archiver|手机版|小黑屋|
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