K-stability of smooth del Pezzo surfaces
Jihun Park, Joonyeong Won

TL;DR
This paper provides a complete algebro-geometric classification of the K-stability of smooth del Pezzo surfaces, determining which are K-stable or K-semistable.
Contribution
It offers a comprehensive algebro-geometric criterion for K-stability of smooth del Pezzo surfaces, filling a gap in the classification theory.
Findings
All smooth del Pezzo surfaces are classified as K-stable or K-semistable.
Explicit criteria for K-(semi)stability are established.
The results advance understanding of stability conditions in algebraic geometry.
Abstract
In an algebro-geometric way, we completely determine whether smooth del Pezzo surfaces are K-(semi)stable or not.
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