A valuative criterion of K-polystability
Algebraic Geometry
2025-10-14 v2
Abstract
For any log Fano pair with a torus action, we associate a computable invariant to it, such that the pair is (weighted) K-polystable if and only if this invariant is greater than one. As an application, we present examples of Fano varieties admitting -solitons for any weight function .
Keywords
Cite
@article{arxiv.2406.06176,
title = {A valuative criterion of K-polystability},
author = {Linsheng Wang},
journal= {arXiv preprint arXiv:2406.06176},
year = {2025}
}
Comments
27 pages, comments are very welcome. v2: accepted version. To appear in TAMS