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math.AG2026
Jordan property of birational automorphism groups of surfaces and birational permutations
Alexandr Zaitsev
We prove that the group of birational automorphisms of a geometrically irreducible algebraic surface over a finite field is Jordan. We show that the analogous statement fails in hi…
math.AG2026
Finite subgroups of Cremona group of rank 3 over the field of rational numbers
Alexandr Zaitsev
We give an explicit bound on orders of finite subgroups of Cremona group of rank three over .
math.AG2024★ 1 cited
Automorphisms of two-dimensional quadrics
Alexandr Zaitsev
In this paper, we find the maximum values that the Jordan constant of the automorphism group of a smooth two-dimensional rational quadric over a field of characteristic zero can at…