Delta invariants of weighted hypersurfaces

Autor: Sano, Taro, Tasin, Luca
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We give a lower bound for the delta invariant of the fundamental divisor of a quasi-smooth weighted hypersurface. As a consequence, we prove K-stability of a large class of quasi-smooth Fano hypersurfaces of index 1 and of all smooth Fano weighted hypersurfaces of index 1 and 2. The proofs are based on the Abban--Zhuang method and on the study of linear systems on flags of weighted hypersurfaces.
Comment: 30 pages
Databáze: arXiv