K-stability for varieties with a big anticanonical class
Algebraic Geometry
2026-05-27 v3 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2210.16631,
title = {K-stability for varieties with a big anticanonical class},
author = {Chenyang Xu},
journal= {arXiv preprint arXiv:2210.16631},
year = {2026}
}
Comments
9 pages, Final version