K-stability of Gorenstein Fano group compactifications with rank two
- 주제(키워드) Singular Kahler-Einstein metrics , equivariant K-stability , Gorenstein Fano group compactifications , moment polytopes , greatest Ricci lower bounds , Kahler-Ricci flow
- 주제(기타) Mathematics
- 설명문(일반) [Lee, Jae-Hyouk] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Park, Kyeong-Dong] Gyeongsang Natl Univ, Dept Math, Jinju 52828, South Korea; [Park, Kyeong-Dong] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju 52828, South Korea; [Yoo, Sungmin] Incheon Natl Univ, Dept Math, Incheon 22012, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted
- 발행기관 WORLD SCIENTIFIC PUBL CO PTE LTD
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000203138
- 본문언어 영어
- Published As https://doi.org/10.1142/S0129167X22500835
초록/요약
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.
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