Open problems in K-stability of Fano varieties
Chenyang Xu, Ziquan Zhuang
TL;DR
This paper discusses unresolved issues in the mathematical theory of K-stability, which is crucial for understanding the geometric properties of Fano varieties.
Contribution
It identifies and explores key open problems in K-stability theory, highlighting areas for future research.
Findings
Identification of fundamental open problems
Discussion of challenges in K-stability theory
Guidance for future research directions
Abstract
In this note, we discuss a number of open problems in K-stability theory.
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 · Functional Equations Stability Results