The most symmetric smooth cubic surface

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.

Authors

Institutions

Publication Details

Journal
Sbornik Mathematics
Published
2025-01-01
DOI
https://doi.org/10.4213/sm10161e
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The most symmetric smooth cubic surface

Anastasia V. Vikulova
Sbornik Mathematics
Algebraic Geometry and Number Theory
article

The most symmetric smooth cubic surface

Anastasia V. Vikulova
article en

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.

Sbornik MathematicsVol. 216(2)
Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU)
Russian Science Foundation
Openalex Percentile: Top 87%
Algebraic Geometry and Number Theory
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The most symmetric smooth cubic surface — Anastasia V. Vikulova · Sbornik Mathematics (2025) | TGRS Research Map | TGRS