Finiteness of K-moduli compactifications

Fuente: arXiv
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Main Author: Zhou, Chuyu
Format: Preprint
Published: 2025
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author Zhou, Chuyu
author_facet Zhou, Chuyu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_15728
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Finiteness of K-moduli compactifications
Zhou, Chuyu
Algebraic Geometry
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.
title Finiteness of K-moduli compactifications
topic Algebraic Geometry
url https://arxiv.org/abs/2509.15728