K-polystable smooth Fano threefolds with ample Q-divisor polarization have reductive automorphism groups.
Fujita,A valuative criterion for uniform K-stability ofQ-Fano varieties, Journal f¨ ur die Reine und Ange- wandte Mathematik751(2019), 309–338
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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.