Automorphisms of two-dimensional quadrics

A. V. Zaitsev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: The maximum possible values of the Jordan constant of the automorphism group of a smooth rational two-dimensional quadric over a field of characteristic zero are found in their dependence on the arithmetic properties of the field.

Keywords: quadric, automorphisms.

MSC: 14J50

Received: 29.10.2024 and 09.10.2025

DOI: 10.4213/sm10226