Special K-stability and positivity of CM line bundles
Algebraic Geometry
2023-10-10 v1 Differential Geometry
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].
Keywords
Cite
@article{arxiv.2310.05367,
title = {Special K-stability and positivity of CM line bundles},
author = {Masafumi Hattori},
journal= {arXiv preprint arXiv:2310.05367},
year = {2023}
}
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30 pages