p†subgroups in the space Cremona group

Yuri Prokhorov and Constantin Shramov

Mathematische Nachrichten, 2018, vol. 291, issue 8-9, 1374-1389

Abstract: We prove that if X is a rationally connected threefold and G is a p†subgroup in the group of birational selfmaps of X, then G is an abelian group generated by at most 3 elements provided that p⩾17. We also prove a similar result for p⩾11 under an assumption that G acts on a (Gorenstein) G†Fano threefold, and show that the same holds for p⩾5 under an assumption that G acts on a G†Mori fiber space.

Date: 2018
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