Exceptional del Pezzo hypersurfaces
SCIE
SCOPUS
- Title
- Exceptional del Pezzo hypersurfaces
- Authors
- Cheltsov, I; Park, J; Shramov, C
- Date Issued
- 2010-10
- Publisher
- Springer
- Abstract
- We compute global log canonical thresholds of a large class of quasismooth well-formed del Pezzo weighted hypersurfaces in P(a(0), a(1), a(2), a(3)). As a corollary we obtain the existence of orbifold Kahler-Einstein metrics on many of them, and classify exceptional and weakly exceptional quasismooth well-formed del Pezzo weighted hypersurfaces in P(a(0), a(1), a(2), a(3)).
- Keywords
- Global log canonical threshold; Alpha-invariant of Tian; Del Pezzo orbifold; Weighted hypersurface; Kahler-Einstein metric; Exceptional Fano variety; Weakly exceptional Fano variety; Exceptional singularity; Weakly exceptional singularity; KAHLER-EINSTEIN METRICS; POSITIVE SCALAR CURVATURE; LOG CANONICAL THRESHOLDS; SURFACES; EXISTENCE; MANIFOLDS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/25826
- DOI
- 10.1007/s12220-010-9135-2
- ISSN
- 1050-6926
- Article Type
- Article
- Citation
- JOURNAL OF GEOMETRIC ANALYSIS, vol. 20, no. 4, page. 787 - 816, 2010-10
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