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Title:
A simple proof of semi-positivity and the nefness threshold of the CM line bundle via the stability threshold
Speaker:
Abstract:
This is a joint work with Giulio Codogni. I will present a simplified proof using the stability threshold of the following earlier results of ours: 1.) the semi-positivity of the CM line bundle for families of K-semistable Q-Fano varieties, 2.) the nefness threshold for the relative anti-canonical divisor with respect to the CM-line bundle, for families of Q-Fano varieties over a curve with uniformly K-stable general fiber. Our new constant for point 2.) is better than our earlier one. Another simple proof of 1.) was given by Xu and Zhuang, via a study of filtrations.
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