We describe the group of birational transformations of a non-trivial Severi-Brauer surface
over a perfect field $ K $, proving in particular that if it contains a point of degree $6 $, then it …

We study automorphism and birational automorphism groups of varieties over fields of
positive characteristic from the point of view of Jordan and $ p $-Jordan property. In …

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In this survey we discuss holomorphic $\mathbb {P}^ 1$-bundles $ p: X\to Y $ over a non-
uniruled complex compact K\" ahler manifold $ Y $, paying a special attention to the case …

We show that a quotient of a non-trivial Severi–Brauer surface S over arbitrary field \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …

The aim of this note is to draw attention to recent results about the so called Jordan property
of groups.(The name was motivated by a classical theorem of Jordan about finite subgroups …

We prove that the only non-trivial finite subgroups of birational automorphism group of non-
trivial Severi-Brauer surfaces over the field of rational numbers are $\mathbb {Z}/3\mathbb …

Многообразие Севери–Брауэра называется нетривиальным, если оно не изоморфно.
Хорошо известно, что многообразие Севери–Брауэра тривиально тогда и только …

Показано, что фактор нетривиальной поверхности Севери–Брауэра S над
произвольным полем $\Bbbk $ характеристики 0 по конечной группе автоморфизмов …