K-stablity of Fano threefold hypersurfaces of index 1
arXiv:2409.09492
Abstract
We settle the problem of K-stability of quasi-smooth Fano 3-fold hypersurfaces with Fano index 1 by providing lower bounds for their delta invariants. We use the method introduced by Abban and Zhuang for computing lower bounds of delta invariants on flags of hypersurfaces in the Fano 3-fold.
54 pages. Minor typos fixed. Updated introduction. Accepted in Crelle