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Delta-invariants of complete intersection log del Pezzo surfaces

Published online by Cambridge University Press:  10 May 2022

In-Kyun Kim  and
Joonyeong Won
In-Kyun Kim
Affiliation:
Department of Mathematics, Yonsei University, Seoul, Korea (soulcraw@gmail.com)
Joonyeong Won
Affiliation:
Department of Mathematics, Ewha Womans University, Seoul, Korea (leonwon@ewha.ac.kr)
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Abstract

We show that complete intersection log del Pezzo surfaces with amplitude one in weighted projective spaces are uniformly $K$-stable. As a result, they admit an orbifold Kähler–Einstein metric.

Keywords

K-stabilitydel Pezzo surfacecomplete intersectiondelta invariant
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 153 , Issue 3 , June 2023 , pp. 1021 - 1036
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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