Springer Proceedings in Mathematics & Statistics- Birational Geometry, Kähler–Einstein Metrics and Degenerations Moscow, Shanghai and Pohang, April–November 2019

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  • Engels
  • Hardcover
  • 9783031178580
  • 24 mei 2023
  • 786 pagina's
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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 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.

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Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
24 mei 2023
Aantal pagina's
786

Betrokkenen

Hoofdredacteur
Ivan Cheltsov
Tweede Redacteur
Jihun Park

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Editie
1st ed. 2023
Product breedte
155 mm
Product lengte
235 mm
Studieboek
Nee
Verpakking breedte
155 mm
Verpakking hoogte
235 mm
Verpakking lengte
235 mm
Verpakkingsgewicht
1677 g

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9783031178580

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