Abstract
This is a slightly extended version of the lecture notes of a mini-course in the workshop of Moduli of K-stable Varieties given by the author, in which the main construction of the proper moduli space of \(\mathbb {Q}\)-Gorenstein smoothable K-semistable Fano varieties in Li et al. (On proper moduli space of smoothable Kahler-Einstein Fano varieties, ArXiv:1411.0761 v3, 2014) is outlined.
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