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arxiv: 2507.08528 · v2 · pith:W3FM4B6Pnew · submitted 2025-07-11 · 🧮 math.AG

On K-stability of Fano's last Fanos

classification 🧮 math.AG
keywords fanok-stabilitysmooththreefoldsalongautomorphismblowingcomplete
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We study K-stability of smooth Fano threefolds of Picard rank $2$ and degree $22$ which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^5$ along a conic. We also describe the automorphism groups of these threefolds.

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