Boundedness of Log Fano Pairs with Certain K-stability

Abstract We prove several boundedness results for log Fano pairs with certain K-stability. In particular, we prove that K-semistable log Fano pairs of Maeda type in each dimension form a log bounded family. We also compute K-semistable domains for some examples.

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Publication Details

Journal
International Mathematics Research Notices
Published
2024-08-30
DOI
https://doi.org/10.1093/imrn/rnae202
Citations
1
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
1.01

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article

Boundedness of Log Fano Pairs with Certain K-stability

Konstantin Loginov, Chuyu Zhou
1 citations
International Mathematics Research Notices
Geometry and complex manifolds
1.01
article

Boundedness of Log Fano Pairs with Certain K-stability

Konstantin Loginov, Chuyu Zhou
article en
1 citations

Abstract

Abstract We prove several boundedness results for log Fano pairs with certain K-stability. In particular, we prove that K-semistable log Fano pairs of Maeda type in each dimension form a log bounded family. We also compute K-semistable domains for some examples.

International Mathematics Research Notices
Russian Academy of Sciences (RU), Yonsei University (KR), Steklov Mathematical Institute (RU)
Russian Science Foundation, H2020 European Research Council
Openalex Percentile: Top 25%
Geometry and complex manifolds
1.01
DOISourceOpenAlex
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