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Cylinders in weighted Fano varieties

  • Adrien Dubouloz

    Université de Poitiers, France; Université de Bourgogne Europe, Dijon, France

  • In-Kyun Kim

    Korea Institute for Advanced Study, Seoul, South Korea

  • Takashi Kishimoto

    Saitama University, Japan

  • Joonyeong Won

    Ewha Womans University, Seoul, South Korea
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Abstract

Cylinders in Fano varieties have received a lot of attention recently from the viewpoints of birational geometry and unipotent geometry. In this article, we provide a survey of several known as well as new results concerning the anti-canonically polar cylindricity of quasi-smooth, well-formed weighted Fano complete intersections in weighted projective spaces.

Cite this article

Adrien Dubouloz, In-Kyun Kim, Takashi Kishimoto, Joonyeong Won, Cylinders in weighted Fano varieties. EMS Surv. Math. Sci. (2026), published online first

DOI 10.4171/EMSS/134