K-stability for varieties with a big anticanonical classArticle
Auteurs : Chenyang Xu
NULL
Chenyang Xu
We extend the algebraic K-stability theory to projective klt pairs with a big
anticanonical class. While in general such a pair could behave pathologically,
it is observed in this note that K-semistability condition will force them to
have a klt anticanonical model, whose stability property is the same as the
original pair.
K-stability and Higher Dimensional Geometry; Financeur: National Science Foundation; Code: 2153115
K-Stability in Higher Dimensional Geometry; Financeur: National Science Foundation; Code: 2201349
FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Financeur: National Science Foundation; Code: 2139613
FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Financeur: National Science Foundation; Code: 1952531
K-stability and Higher Dimensional Geometry; Financeur: National Science Foundation; Code: 1901849
Références bibliographiques
1 Document citant cet article
Antonio Trusiani, 2024, A relative Yau-Tian-Donaldson conjecture and stability thresholds, Advances in mathematics, 441, pp. 109537, 10.1016/j.aim.2024.109537.