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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Birational Geometry, Kähler–Einstein Metrics and Degenerations
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Birational Geometry, Kähler–Einstein Metrics and Degenerations
(Broschiert, Englisch)
Optischer Zustand
Beschreibung
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. 235,39 €
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Technische Daten
Erscheinungsdatum
25.05.2024
Sprache
Englisch
EAN
9783031178610
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Proceedings in Mathematics & Statistics
Sonderedition
Nein
Seitenanzahl
883
Einbandart
Broschiert
Buch Untertitel
Moscow, Shanghai and Pohang, April–November 2019
Schlagwörter
Fano variety, K-stability, del Pezzo surface, Kahler-Einstein metric, Sasaki-Einstein metric, birational rigidity, Cremona group, rationally connected variety, minimal model program, Calabi problem
Thema-Inhalt
PBMW - Algebraische Geometrie
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
PBM - Geometrie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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