Work

The most symmetric smooth cubic surface

Year: 2025

Type: article

Abstract: We give a classification of the largest automorphism groups of smooth cubic surfaces over arbitrary fields. Moreover, we prove that, given a field, a smooth cubic surface with the largest automorphism group is unique up to isomorphism. Bibliography: 19 titles.

Source: Sbornik Mathematics

DOI: 10.4213/sm10161e

Author: Anastasia Vadimovna Vikulova

Institution: Steklov Mathematical Institute

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G2563333678