Birational Geometry, Kahler-Einstein Metrics and Degenerations - Moscow, Shanghai and Pohang, April-November 2019 (Hardcover, 1st ed. 2023)

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 Kahler-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 Kahler-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 Kahler 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Proceedings in Mathematics & Statistics, 409
Release date:	March 2023
First published:	2023
Editors:	Ivan Cheltsov • Xiuxiong Chen • Ludmil Katzarkov • Jihun Park
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	786
Edition:	1st ed. 2023
ISBN-13:	978-3-03-117858-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-03-117858-0
Barcode:	9783031178580

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