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arXiv · 1910.12623

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

Quentin Posva
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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 recent theorem of Codogni and Patakfalvi to the logarithmic setting.

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Quentin Posva. 2019-10-28. Positivity of the CM line bundle for K-stable log Fanos. https://arxiv.org/abs/1910.12623

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