Positivity of the CM line bundle for K-stable log Fanos

Posva, Quentin

doi:10.1090/tran/8640

Positivity of the CM line bundle for K-stable log Fanos
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by Quentin Posva PDF

Trans. Amer. Math. Soc. 375 (2022), 4943-4978 Request permission

Abstract:

We prove the bigness of the Chow–Mumford line bundle associated to a $\mathbb {Q}$-Gorenstein family of log Fano varieties of maximal variation with uniformly K-stable general geometric fibers. This result generalizes a theorem of Codogni and Patakfalvi to the logarithmic setting.

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