On Affine Real Cubic Surfaces
Arnold Mathematical Journal, vol.10, no.2, pp.155-169, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 2
- Publication Date: 2024
- Doi Number: 10.1007/s40598-023-00231-8
- Journal Name: Arnold Mathematical Journal
- Journal Indexes: Scopus, MathSciNet, zbMATH
- Page Numbers: pp.155-169
- Keywords: 14J10, 14J26, Deformation classification, Primary 14R05, Real affine cubic surfaces, Secondary 14P25, Wall-crossing
- Middle East Technical University Affiliated: Yes
Abstract
We prove that the space of affine, transversal at infinity, nonsingular real cubic surfaces has 15 connected components. We give a topological criterion to distinguish them and show also how these 15 components are adjacent to each other via wall-crossing.