Topology of real cubic fourfolds


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FİNASHİN S., Kharlamov V.

JOURNAL OF TOPOLOGY, cilt.3, sa.1, ss.1-28, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1112/jtopol/jtp034
  • Dergi Adı: JOURNAL OF TOPOLOGY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-28
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A solution of the problem of topological classification of real cubic fourfolds is given. It is proven that the real locus of a real non-singular cubic fourfold is diffeomorphic either to a connected sum RP(4)#i(S(2) x S(2))# j(S(1) x S(3)) or to a disjoint union RP(4) (sic) S(4).