Carolina Araujo (Instituto Nacional de Matematica Pura e Aplicada (, Ana-Maria Castravet (Universite Versailles / Saint Quentin-en-Yveline, Ivan Cheltsov (University of Edinburgh)

The Calabi Problem for Fano Threefolds

• Broschiertes Buch

Produktbeschreibung

This book determines whether the general member of each family of smooth Fano threefolds admits a Kahler-Einstein metric, using K-stability. Complemented by appendices outlining results needed to understand this active area, it will be essential reading for researchers and graduate students working on algebraic and complex geometry.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 455
• Erscheinungstermin: 29. Juni 2023
• Englisch
• Abmessung: 151mm x 230mm x 29mm
• Gewicht: 664g
• ISBN-13: 9781009193399
• ISBN-10: 1009193392
• Artikelnr.: 67293186

Autorenporträt

Carolina Araujo is a researcher at the Institute for Pure and Applied Mathematics (IMPA), Rio de Janeiro, Brazil.

Inhaltsangabe

Introduction
1. K-stability
2. Warm-up: smooth del Pezzo surfaces
3. Proof of main theorem: known cases
4. Proof of main theorem: special cases
5. Proof of main theorem: remaining cases
6. The big table
7. Conclusion
Appendix. Technical results used in proof of main theorem
References
Index.