On Affine Real Cubic Surfaces

FİNASHİN S., Kharlamov V.

Arnold Mathematical Journal, cilt.10, sa.2, ss.155-169, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s40598-023-00231-8
  • Dergi Adı: Arnold Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.155-169
  • Anahtar Kelimeler: 14J10, 14J26, Deformation classification, Primary 14R05, Real affine cubic surfaces, Secondary 14P25, 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.