K-stability of Fano threefold hypersurfaces of index 1
Abstract 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.
Authors
- Takuzo Okada (ORCID: https://orcid.org/0000-0002-7961-2258)
- Livia Campo (ORCID: https://orcid.org/0000-0003-4962-5936)
Institutions
- University of Vienna (AT)
- Kyushu University (JP)
Publication Details
- Journal
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Published
- 2026-08-20
- DOI
- https://doi.org/10.1515/crelle-2026-0060
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science
- Korea Institute for Advanced Study