Abstract
We give a classification of Gorenstein Fano bi-equivariant compactifications of semi-simple complex Lie groups with rank two, and determine which of them are equivariant K-stable and admit (singular) Kähler-Einstein metrics. As a consequence, we obtain several explicit examples of K-stable Fano varieties admitting (singular) Kähler-Einstein metrics. We also compute the greatest Ricci lower bounds, equivalently the delta invariants for K-unstable varieties. This gives us three new examples on which each solution of the Kähler-Ricci flow is of type II.
Original language | English |
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Article number | 2250083 |
Journal | International Journal of Mathematics |
Volume | 33 |
Issue number | 13 |
DOIs | |
State | Published - 1 Nov 2022 |
Bibliographical note
Publisher Copyright:© 2022 World Scientific Publishing Company.
Keywords
- Gorenstein Fano group compactifications
- Kähler-Ricci flow
- Singular Kähler-Einstein metrics
- equivariant K-stability
- greatest Ricci lower bounds
- moment polytopes