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Special K-stability and positivity of CM line bundles

Published 9 Oct 2023 in math.AG and math.DG | (2310.05367v1)

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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Authors (1)

  1. Masafumi Hattori 

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