On Affine Real Cubic Surfaces

FİNASHİN S., Kharlamov V.

Arnold Mathematical Journal, vol.10, no.2, pp.155-169, 2024 (Scopus) identifier

  • 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.