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arXiv · 2509.15728

Finiteness of K-moduli compactifications

Chuyu Zhou
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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.

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Chuyu Zhou. 2025-09-19. Finiteness of K-moduli compactifications. https://arxiv.org/abs/2509.15728

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