Chenyang Xu (Princeton) - On positivity of the CM line bundle
Channel: Jesús Martínez-García
Date: 2020-12-09

Chenyang Xu (Princeton) - On positivity of the CM line bundle

Talk delivered at EDGE 2020 (online) Workshop "Explicit K-stability and Moduli Problems".

https://www.maths.ed.ac.uk/cheltsov/edge2020/

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.