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On K-stability of blow-ups of weighted projective planes

Part of: Surfaces and higher-dimensional varieties Global differential geometry

Published online by Cambridge University Press:  29 August 2025

In-Kyun Kim  and
Joonyeong Won
In-Kyun Kim
Affiliation:
June E Huh Center for Mathematical Challenges, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul 02455, Republic of Korea (soulcraw@gmail.com)
Joonyeong Won
Affiliation:
Department of Mathematics, Ewha Womans University, 52, Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, Republic of Korea (leonwon@ewha.ac.kr)
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Abstract

We study the K-stability of blow-ups of the weighted projective plane ${\mathbb P}(1,1,n)$, where n is a positive integer.

Keywords

K-stabledel Pezzo surfacealpha-invariantdelta-invariantblow-up

MSC classification

Primary: 14J45: Fano varieties
Secondary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , First View , pp. 1 - 17
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.

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