JournalsprimsVol. 61, No. 3pp. 447–486

Special K-Stability and Positivity of CM Line Bundles

  • Masafumi Hattori

    Kyoto University, Japan
Special K-Stability and Positivity of CM Line Bundles cover
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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 big and nef. 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 Hashizume and Hattori (Geom. Topol. 29 (2025), 1619–1691).

Cite this article

Masafumi Hattori, Special K-Stability and Positivity of CM Line Bundles. Publ. Res. Inst. Math. Sci. 61 (2025), no. 3, pp. 447–486

DOI 10.4171/PRIMS/61-3-5