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Regular version of the site

Working paper

Finite quasisimple groups acting on rationally connected threefolds

Prokhorov Y., Duncan A., Cheltsov I., Blanc J.
We show that the only finite quasi-simple non-abelian groups that can faithfully act on rationally connected threefolds are the following groups: 𝔄5, PSL2(F7), 𝔄6, SL2(F8), 𝔄7, PSp4(F3), SL2(F7), 2.𝔄5, 2.𝔄6, 3.𝔄6 or 6.𝔄6. All of these groups with a possible exception of 2.𝔄6 and 6.𝔄6 indeed act on some rationally connected threefolds.