K-moduli of Fano threefolds in family 3.10
Ivan Cheltsov, Alan Thompson

TL;DR
This paper classifies all K-polystable limits of smooth Fano threefolds within the specific family 3.10, advancing understanding of their stability properties.
Contribution
It provides a complete classification of K-polystable limits for Fano threefolds in family 3.10, a previously unresolved problem.
Findings
All K-polystable limits of smooth Fano threefolds in family 3.10 are identified.
The classification enhances understanding of stability conditions in Fano threefolds.
Results contribute to the broader study of moduli spaces of Fano varieties.
Abstract
We find all K-polystable limits of smooth Fano threefolds in family 3.10.
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