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.
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.
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.
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.
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