https://neckpinch.com/authors/kyeong-dong-park/New arXiv papers by Kyeong-Dong Park, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2203.11058/arxiv:2203.11058Mon, 21 Mar 2022 00:00:00 GMTJae-Hyouk Lee, Kyeong-Dong Park, Sungmin Yoo — We give a classification of Gorenstein Fano bi-equivariant compactifications of semisimple complex Lie groups with rank two, and determine which of them are equivariant K-stable and admit (singular) Kähler-Einstein metrics. As a consequence, we obtain several explicit examples of K-stable Fano varieties admitting (singular) Kähler-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 Kähler-Ricci flow is of type II.Ricci flowKähler–Ricci flowEinstein metricsSingularitiesKähler geometryHomogeneous spacesStability & uniquenessKähler–Einstein & K-stability