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math.AG2025
Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero
In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara
In this paper, we study the cylindricity of -forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes over an arbitrary fie…
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.