On positivity of the CM line bundle

Chenyang Xu (Princeton University)

07-Dec-2020, 15:30-16:30 (5 years ago)

Abstract: (Joint with Ziquan Zhuang) The K-moduli which parametrizes K-polystable Fano varieties is conjecturally to be projective. In this talk, I will discuss the result we obtained for the positivity of the CM line bundle on the K-moduli. In particular, it implies the (proper) component parametrizing smoothable K-polystable Fano varieties is projective.

algebraic geometry

Audience: researchers in the topic


EDGE 2020 (online)

Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).

Organizers: Ivan Cheltsov*, Anne-Sophie Kaloghiros, Jesus Martinez Garcia*
*contact for this listing

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