DOI: 10.1515/crelle-2026-0060 ISSN: 0075-4102
K-stability of Fano threefold hypersurfaces of index 1
Livia Campo, Takuzo OkadaAbstract
We settle the problem of K-stability of quasismooth 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.