Cylinders in weighted Fano varieties

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.

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Publication Details

Journal
EMS Surveys in Mathematical Sciences
Published
2026-10-30
DOI
https://doi.org/10.4171/emss/134
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Cylinders in weighted Fano varieties

Adrien Dubouloz, Joonyeong Won, In-Kyun Kim, Takashi Kishimoto
2 links
EMS Surveys in Mathematical Sciences
Algebraic Geometry and Number Theory
article

Cylinders in weighted Fano varieties

Adrien Dubouloz, Joonyeong Won, In-Kyun Kim, Takashi Kishimoto
article en

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.

EMS Surveys in Mathematical Sciences
Korea Institute for Advanced Study (KR), Ewha Womans University (KR), Université de Bourgogne (FR), Université de Poitiers (FR), Université Bourgogne Europe (FR), Saitama University (JP)
National Research Foundation, National Research Foundation of Korea, Japan Society for the Promotion of Science
Openalex Percentile: Top 68%
Algebraic Geometry and Number Theory
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