Finiteness of K-moduli compactifications
Algebraic Geometry
2025-09-22 v1
Abstract
In this note, we aim to prove the finite semi-algebraic chamber decomposition theorem for K-semi(poly)stability under the assumption of the log boundedness of K-semistable degenerations. This boundedness assumption is naturally arising from the finiteness of K-moduli compactifications.
Cite
@article{arxiv.2509.15728,
title = {Finiteness of K-moduli compactifications},
author = {Chuyu Zhou},
journal= {arXiv preprint arXiv:2509.15728},
year = {2025}
}
Comments
20 pages, comments welcome