TL;DR
This paper demonstrates that specific Galois covers of K-semistable Fano varieties are K-stable, leading to new examples of Fano manifolds with Kähler-Einstein metrics, such as hypersurfaces and threefolds.
Contribution
It establishes the K-stability of certain Galois covers of K-semistable Fano varieties, expanding the class of known K-stable Fano manifolds.
Findings
Galois covers of K-semistable Fano varieties can be K-stable
New examples of Fano manifolds with Kähler-Einstein metrics identified
Includes hypersurfaces, double solids, and threefolds
Abstract
We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give some new examples of Fano manifolds admitting K\"ahler-Einstein metrics, including hypersurfaces, double solids and threefolds.
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.