
arXiv: 1907.04364
Abstract We prove that a finite group acting by birational automorphisms of a nontrivial Severi-Brauer surface over a field of characteristic zero contains a normal abelian subgroup of index at most . Also, we find an explicit bound for the orders of such finite groups in the case when the base field contains all roots of . Bibliography: 25 titles.
Mathematics - Algebraic Geometry, Automorphisms of surfaces and higher-dimensional varieties, FOS: Mathematics, group of birational automorphisms, Severi-Brauer surface, Algebraic Geometry (math.AG), Birational automorphisms, Cremona group and generalizations
Mathematics - Algebraic Geometry, Automorphisms of surfaces and higher-dimensional varieties, FOS: Mathematics, group of birational automorphisms, Severi-Brauer surface, Algebraic Geometry (math.AG), Birational automorphisms, Cremona group and generalizations
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