Automorphisms of Fano threefolds of rank 2 and degree 28

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arxiv 2405.08165 v1 pith:ITLRT2NQ submitted 2024-05-13 math.AG

Joseph Malbon This is my paper · ORCID

classification math.AG

keywords degreefanorankthreefoldsautomorphismautomorphismscasesdescribe

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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 $5$
math.AG 2024-12 conditional novelty 6.0 of 10

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.