1-dimensional K-moduli spaces of Fano 3-folds

Abstract: Recent advances in the study of K-stability have shown that there is a projective good moduli space of K-polystable Q-Gorenstein smoothable Q-Fano varieties of dimension n and volume V. The classification of smooth Fano 3-folds is due to Iskovshikh, Mori and Mukai and dates back to the 80s. While the classification is non-modular, it contains rich information on the geometry of Fano 3-folds. Fano 3-folds offer a rich source of examples in which we can explicitly construct and understand some K-moduli spaces. In this talk, I will discuss some examples of 1-dimensional K-moduli spaces of Fano 3-folds. This is joint work with Abban, Cheltsov, Jiao, Martinez-Garcia, Papazachariou and Sarikyan.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

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