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Fano 3-folds with 1-dimentional K-moduli.

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EMG - New equivariant methods in algebraic and differential geometry

We introduce K-stability, and the motivation behind it. We will see how to study and completely describe all one-dimensional components of the K-moduli of smooth Fano 3-folds. And we will finish giving some specific examples for family 3.12 (blow-up of a disjoint line and twisted cubic on P^3). This result is in collaboration with Abban, Cheltsov, Denisova, Kaloghiros, Jiao, Martinez-Garcia and Papazachariou.

This talk is part of the Isaac Newton Institute Seminar Series series.

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