株式会社極東書店トップ ＞ 商品一覧 ＞ Birational Geometry, Kaehler-Einstein Metrics and Degenerations : Moscow, Shanghai and Pohang, April-November 2019.
商品詳細
Birational Geometry, Kaehler-Einstein Metrics and Degenerations : Moscow, Shanghai and Pohang, April-November 2019.
・ISBN 978-3-031-17861-0 paper EUR 199.99
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| 著者・編者 | Cheltsov, Ivan / Chen, Xiuxiong / Katzarkov, Ludmil / Park, Jihun (eds.), |
|---|---|
| シリーズ | Springer Proceedings in Mathematics & Statistics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2024 |
| ページ数 | 883 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12698＞ |
解説
This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and Pohang
The conferences were focused on the following two related problems:
* existence of Kaehler-Einstein metrics on Fano varieties
* degenerations of Fano varieties
on which two famous conjectures were recently proved. The first is the famous Borisov-Alexeev-Borisov Conjecture on the boundedness of Fano varieties, proved by Caucher Birkar (for which he was awarded the Fields medal in 2018), and the second one is the (arguably even more famous) Tian-Yau-Donaldson Conjecture on the existence of Kaehler-Einstein metrics on (smooth) Fano varieties and K-stability, which was proved by Xiuxiong Chen, Sir Simon Donaldson and Song Sun. The solutions for these longstanding conjectures have opened new directions in birational and Kaehler geometries. These research directions generated new interesting mathematical problems, attracting the attention of mathematicians worldwide.
These conferences brought together top researchers in both fields (birational geometry and complex geometry) to solve some of these problems and understand the relations between them. The result of this activity is collected in this book, which contains contributions by sixty nine mathematicians, who contributed forty three research and survey papers to this volume. Many of them were participants of the Moscow-Shanghai-Pohang conferences, while the others helped to expand the research breadth of the volume-the diversity of their contributions reflects the vitality of modern Algebraic Geometry.