International Journal of Mathematics ( IF 0.604 ) Pub Date : 2020-08-17 , DOI: 10.1142/s0129167x20500834
Constantin Shramov

We classify finite groups acting by birational transformations of a nontrivial Severi–Brauer surface over a field of characteristic zero that are not conjugate to subgroups of the automorphism group. Also, we show that the automorphism group of a smooth cubic surface over a field $𝕂$ of characteristic zero that has no $𝕂$-points is abelian, and find a sharp bound for the Jordan constants of birational automorphism groups of such cubic surfaces.

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