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math.AG2025
Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two
Jaehyun Kim, Dae-Won Lee, Masatomo Sawahara
We prove that for Du Val del Pezzo surfaces of degree one with Picard rank two, the existence of an anticanonical polar cylinder implies the ample polar cylindricity.
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 \(E_2\)…