Kahler-Einstein Metrics on Smooth Fano Symmetric Varieties with Picard Number One
- 주제(키워드) Kahler-Einstein metrics , symmetric varieties , moment polytopes
- 주제(기타) Mathematics
- 설명문(일반) [Lee, Jae-Hyouk] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Park, Kyeong-Dong] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea; [Yoo, Sungmin] Inst for Basic Sci Korea, Ctr Geometry & Phys, Pohang 37673, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted, gold, Green Published
- 발행기관 MDPI
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000175418
- 본문언어 영어
- Published As http://dx.doi.org/10.3390/math9010102
초록/요약
Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano symmetric varieties with Picard number one admit Kahler-Einstein metrics by using a combinatorial criterion for K-stability of Fano spherical varieties obtained by Delcroix. For this purpose, we present their algebraic moment polytopes and compute the barycenter of each moment polytope with respect to the Duistermaat-Heckman measure.
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