Twenty-Seven Questions about the Cubic Surface

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.

13 pages

References in corpus (3)

• Luigi Cremona and cubic surfaces
• Anticanonical tropical cubic del Pezzos contain exactly 27 lines
• 96120: The degree of the linear orbit of a cubic surface