상세 보기
K-stability of Gorenstein Fano group compactifications with rank two
- Lee, Jae-Hyouk;
- Park, Kyeong-Dong;
- Yoo, Sungmin
Citations
WEB OF SCIENCE
1Citations
SCOPUS
0초록
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) Kahler-Einstein metrics. As a consequence, we obtain several explicit examples of K-stable Fano varieties admitting (singular) Kahler-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 Kahler-Ricci flow is of type II.
키워드
Singular Kahler-Einstein metrics; equivariant K-stability; Gorenstein Fano group compactifications; moment polytopes; greatest Ricci lower bounds; Kahler-Ricci flow; KAHLER-EINSTEIN METRICS; GREATEST LOWER BOUNDS; SYMMETRIC VARIETIES; RICCI CURVATURE; MANIFOLDS; LIMITS
- 제목
- K-stability of Gorenstein Fano group compactifications with rank two
- 저자
- Lee, Jae-Hyouk; Park, Kyeong-Dong; Yoo, Sungmin
- 발행일
- 2022-11
- 유형
- Article
- 권
- 33
- 호
- 13