Twenty-Seven Questions about the Cubic Surface

2019/12/16 by Kristian Ranestad, Bernd Sturmfels, Ranestad, Kristian +1 · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1912.07347

openalex publication_date 2019/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Luigi Cremona and cubic surfaces
• The Newton polytope of the discriminant of a quaternary cubic form

Cited by

• Galois Groups of Symmetric Cubic Surfaces
• Coupled KPZ equations and their decoupleability

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