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arXiv · 1305.6854

Separatedness of moduli of K-stable varieties

Yuji Odaka·Richard P Thomas
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Abstract

Given a one parameter flat family of polarized algebraic varieties, we show that any K-stable limit is unique. In particular, moduli spaces of K-stable polarized varieties are automatically Hausdorff when they exist. We also give a characterization of K-stable limits in terms of the CM line bundle, and some applications to moduli. Our methods work for arbitrary projective schemes in any characteristic.

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Yuji Odaka, Richard P Thomas. 2013-11-05. Separatedness of moduli of K-stable varieties. https://arxiv.org/abs/1305.6854

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