K-stability is established for infinitely many smooth members of Fano threefold family 2.19, with the main theorem giving a lower bound on local stability thresholds away from one open subset of the exceptional divisor.
Automorphisms of Fano threefolds of rank 2 and degree 28
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abstract
We describe the automorphism groups of smooth Fano threefolds of rank 2 and degree 28 in the cases where they are finite.
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On K-stability of $\mathbb P^3$ blown up along a smooth genus $2$ curve of degree $5$
K-stability is established for infinitely many smooth members of Fano threefold family 2.19, with the main theorem giving a lower bound on local stability thresholds away from one open subset of the exceptional divisor.