Видеотека: А. В. Викулова, Birational automorphism groups of Severi--Brauer surfaces over the field of rational numbers

ВИДЕОТЕКА


Конференция "Молодежный забег МЦМУ МИАН" 14 марта 2023 г. 17:40, г. Москва, Математический институт им. В.А. Стеклова РАН, конференц-зал, 9 этаж

Birational automorphism groups of Severi–Brauer surfaces over the field of rational numbers A. V. Vikulova
Аннотация: In this talk we will discuss finite subgroups in the group of birational automorphisms of Severi–Brauer surfaces. We will prove that the only non-trivial finite subgroups of birational automorphisms group of a non-trivial Severi–Brauer surfaces over the field of rational numbers are $\mathbb{Z}/3\mathbb{Z}$ and $(\mathbb{Z}/3\mathbb{Z})^2.$ Also we will discuss $3$-subgroups in the birational automorphisms group for a Severi–Brauer surface over any field of characteristic zero. Язык доклада: английский