Automorphisms of del Pezzo surfaces without points

TL;DR

This paper investigates the automorphism groups of del Pezzo surfaces lacking rational points over fields of characteristic zero, providing estimates for their Jordan constants to understand their algebraic structure.

Contribution

It offers new insights into the automorphism groups of such surfaces and estimates their Jordan constants, a novel contribution in algebraic geometry.

Findings

Automorphism groups are characterized for del Pezzo surfaces without points.

Jordan constants for these automorphism groups are estimated.

Results enhance understanding of symmetry properties of these surfaces.

Abstract

We study automorphism groups of del Pezzo surfaces without points over a field of zero characteristic, and estimate their Jordan constants.