On Affine Real Cubic Surfaces

FİNASHİN S., Kharlamov V.

Arnold Mathematical Journal, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s40598-023-00231-8
  • Dergi Adı: Arnold Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Deformation classification, Real affine cubic surfaces, Wall-crossing
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.