K-polystable smooth Fano threefolds with ample Q-divisor polarization have reductive automorphism groups.
Grothendieck, Cohomologieℓ-adique et fonctionsL(SGA 5), Lecture Notes in Math.589
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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.