Complete decomposability of quotients by complex conjugation for real complete intersection surfaces


Finashin S.

REVISTA MATEMÁTICA COMPLUTENSE, cilt.10, sa.Suplementario, ss.111-118, 1997 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: Suplementario
  • Basım Tarihi: 1997
  • Dergi Adı: REVISTA MATEMÁTICA COMPLUTENSE
  • Sayfa Sayıları: ss.111-118
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Suppose X is a non-singular complex surface defined over H, winch is a complete intersection constructed by the method of a small perturbation, and Y= X/conj is its quotient by the complex conjugation conj X—* X. Assume that conj has a fixed point. It is proved that Y is diffeomorphic to a connected sum# nCP2# mCP if w2 (Y)=¿ 0, or# n (S2 x S2) if w2 (Y)= 0.