On K-stability of singular hyperelliptic Fano 3-folds
Hamid Abban, Ivan Cheltsov, Adrien Dubouloz, Kento Fujita, Takashi Kishimoto, Jihun Park
TL;DR
This paper investigates the K-stability of certain singular Fano 3-folds with specific singularities and linear system properties, contributing to the understanding of their geometric stability conditions.
Contribution
It provides new insights into the K-stability criteria for singular hyperelliptic Fano 3-folds with canonical Gorenstein singularities.
Findings
Identifies conditions under which these Fano 3-folds are K-stable.
Establishes links between singularity types and stability properties.
Advances classification of Fano varieties based on stability.
Abstract
We study the K-stability of singular Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system is base-point-free but not very ample.
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 · Commutative Algebra and Its Applications