Twenty-Seven Questions about the Cubic Surface

TL;DR

This paper introduces a collection of 27 research questions about cubic surfaces in three-dimensional space, serving as an introduction to a special journal issue and highlighting open problems in the field.

Contribution

It presents a curated list of 27 fundamental questions about cubic surfaces, inspiring further research and publication in the area.

Findings

Number of questions matches the lines on a cubic surface

Provides a comprehensive list of open problems

Serves as an introductory overview for a special journal issue

Abstract

We present a collection of research questions on cubic surfaces in 3-space. These questions inspired a collection of papers to be published in a special issue of the journal Le Matematiche. This article serves as the introduction to that issue. The number of questions is meant to match the number of lines on a cubic surface. We end with a list of problems that are open.