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Birational Geometry, Kahler-Einstein Metrics and Degenerations: Moscow, Shanghai and Pohang, April-November 2019 (Springer Proceedings in Mathematics and Statistics, 409) PDF

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by Ivan Cheltsov| 2024| 93| English

About Birational Geometry, Kahler-Einstein Metrics and Degenerations: Moscow, Shanghai and Pohang, April-November 2019 (Springer Proceedings in Mathematics and Statistics, 409)

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

Detailed Information

Author:Ivan Cheltsov
Publication Year:2024
ISBN:9783031178610
Language:English
File Size:93
Format:PDF
Price:FREE
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