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

Author:

Posva Quentin

Abstract

We prove the bigness of the Chow–Mumford line bundle associated to a Q \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.

Funder

European Research Council

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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