Delta Invariants of Singular del Pezzo Surfaces

We use the methods introduced by Cheltsov–Rubinstein–Zhang (Sel Math (N.S.) 25(2):25–34, 2019 ) to estimate δ -invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov (J Geom Anal 20(4):787–816, 2010 ) that have α -invariants less than 2 3 . A...

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Bibliographic Details
Published in:The Journal of geometric analysis 2021-03, Vol.31 (3), p.2354-2382
Main Authors: Cheltsov, Ivan, Park, Jihun, Shramov, Constantin
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Invariants
Mathematics
Mathematics and Statistics
Quotients
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Summary:We use the methods introduced by Cheltsov–Rubinstein–Zhang (Sel Math (N.S.) 25(2):25–34, 2019 ) to estimate δ -invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov (J Geom Anal 20(4):787–816, 2010 ) that have α -invariants less than 2 3 . As a result, we verify that each of these surfaces admits an orbifold Kähler–Einstein metric.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-020-00355-9