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math.AG2025
Automorphism groups and cylindricity of weighted hypersurface Fano threefolds
In-Kyun Kim, Takashi Kishimoto, Joonyeong Won
It is well known that there are totally 130 deformation families of quasi-smooth terminal weighted hypersurface Fano threefolds and all members belonging to 95 families of Fano ind…
math.AG2025
K-stability of del Pezzo surfaces with a single quotient singularity
In-Kyun Kim, Dae-Won Lee
In this paper, we study the K-stability of del Pezzo surfaces with a single quotient singularity whose minimal resolution admits exactly two exceptional curves \(E_1\) and \(E_2\)…
math.AG2025
Rigid affine cones over singular del Pezzo surfaces
In-Kyun Kim, Jaehyun Kim, Joonyeong Won
We completely determine the existence of anticanonical polar cylinders in quasi-smooth log del Pezzo surfaces of index one.