Cylinders in weighted Fano varieties
Adrien Dubouloz, In-Kyun Kim, Takashi Kishimoto, and Joonyeong Won
TL;DR
This paper surveys recent and new results on the existence of cylinders in weighted Fano varieties, focusing on their anti-canonically polar cylindricity in weighted projective spaces.
Contribution
It provides a comprehensive overview of known and new results regarding cylindricity of weighted Fano complete intersections.
Findings
Survey of known results on cylindricity in weighted Fano varieties
Introduction of new results on anti-canonically polar cylindricity
Focus on quasi-smooth, well-formed weighted Fano complete intersections
Abstract
Cylinders in Fano varieties receives a lot of attentions recently from the viewpoints of birational geometry and unipotent geometry. In this article, we provide a survey of several known et new results concerning the anti-canonically polar cylindricity of quasi-smooth, well-formed weighted Fano complete intersections in weighted projective spaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Holomorphic and Operator Theory