Cylinders in weighted Fano varieties
Adrien Dubouloz
Université de Poitiers, France; Université de Bourgogne Europe, Dijon, FranceIn-Kyun Kim
Korea Institute for Advanced Study, Seoul, South KoreaTakashi Kishimoto
Saitama University, JapanJoonyeong Won
Ewha Womans University, Seoul, South Korea

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