| 期刊全称 | Birational Geometry, Kähler–Einstein Metrics and Degenerations | | 期刊简称 | Moscow, Shanghai and | | 影响因子2023 | Ivan Cheltsov,Xiuxiong Chen,Jihun Park | | 视频video | | | 学科分类 | Springer Proceedings in Mathematics & Statistics | | 图书封面 |  | | 影响因子 | .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 Kähler–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 Kähler–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 Kähler 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 | | Pindex | Conference proceedings 2023 |
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发表于 2025-3-21 20:01:41
