K-polystable smooth Fano threefolds with ample Q-divisor polarization have reductive automorphism groups.
Takeuchi,Weak Fano threefolds with del Pezzo fibration, European Journal of Mathematics8(2022), 1225– 1290
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A Matsushima theorem for K-polystable polarised smooth Fano threefolds
K-polystable smooth Fano threefolds with ample Q-divisor polarization have reductive automorphism groups.