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Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two

  • Jaehyun Kim

    Kangwon National University, Chuncheon-si, South Korea

  • Dae-Won Lee

    Korea Institute for Advanced Study, Seoul, South Korea

  • Masatomo Sawahara

    Hirosaki University, Aomori, Japan
Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two cover

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Abstract

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.

Cite this article

Jaehyun Kim, Dae-Won Lee, Masatomo Sawahara, Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two. EMS Surv. Math. Sci. (2026), published online first

DOI 10.4171/EMSS/132