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arXiv · 2310.05367

Special K-stability and positivity of CM line bundles

Masafumi Hattori
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Abstract

We show that the CM line bundle on a proper family parametrizing specially K-stable varieties with maximal variation is ample. As an application, we show projectivity of any proper subspace of the coarse moduli space of uniformly adiabatically K-stable klt--trivial fibrations over curves constructed in [HH23].

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Masafumi Hattori. 2023-10-09. Special K-stability and positivity of CM line bundles. https://arxiv.org/abs/2310.05367

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