Boundedness of log Fano pairs with certain K-stability
Konstantin Loginov, Chuyu Zhou
TL;DR
This paper establishes boundedness results for specific classes of log Fano pairs with certain K-stability conditions, including the boundedness of K-semistable pairs of Maeda type and the computation of their K-semistable domains.
Contribution
It proves that K-semistable log Fano pairs of Maeda type form a log bounded family and computes K-semistable domains for specific examples, advancing understanding of their stability properties.
Findings
K-semistable log Fano pairs of Maeda type are log bounded.
Explicit K-semistable domains are computed for certain examples.
The results contribute to the classification and stability analysis of log Fano pairs.
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 form a log bounded family. We also compute K-semistable domains for some examples.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometry and complex manifolds · Analytic and geometric function theory