2 papers
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
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.