Name: Birational Geometry, Kahler–Einstein Metrics and Degenerations. Moscow, Shanghai and Pohang, April–November 2019
Price: 212.49 USD
Availability: InStock
Author: Ivan Cheltsov;Xiuxiong Chen;Ludmil Katzarkov;Jihun Park
ISBN: 9783031178610

portada Birational Geometry, Kahler–Einstein Metrics and Degenerations. Moscow, Shanghai and Pohang, April–November 2019

Birational Geometry, Kahler–Einstein Metrics and Degenerations. Moscow, Shanghai and Pohang, April–November 2019

Formato

Libro Físico

Editorial

Springer International Publishing AG

Autor

Ivan Cheltsov;Xiuxiong Chen;Ludmil Katzarkov;Jihun Park

Colección

Springer Proceedings in Mathematics & Statistics

Año

2024

N° páginas

883

Encuadernación

Tapa Blanda

Dimensiones

23.50 x 15.50 cm

ISBN13

9783031178610

Birational Geometry, Kahler–Einstein Metrics and Degenerations. Moscow, Shanghai and Pohang, April–November 2019

Ivan Cheltsov;Xiuxiong Chen;Ludmil Katzarkov;Jihun Park (Autor) · Springer International Publishing AG · Tapa Blanda

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Reseña del libro "Birational Geometry, Kahler–Einstein Metrics and Degenerations. Moscow, Shanghai and Pohang, April–November 2019"

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:• existence of Kähler–Einstein metrics on Fano varieties• degenerations of Fano varietieson 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 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.