Differential topology of quotients of complex surfaces by complex conjugation


Finashin S.

ZAPISKI NAUCHNYKH SEMINAROV POMI, vol.231, pp.215-221, 1995 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 231
  • Publication Date: 1995
  • Journal Name: ZAPISKI NAUCHNYKH SEMINAROV POMI
  • Page Numbers: pp.215-221
  • Middle East Technical University Affiliated: Yes

Abstract

The paper contains a brief survey of the author's results on the diffeomorphism type of quotients of complex surfaces by anti-holomorphic involutions. The conjecture of complete decomposability is discussed, which says that if such a quotient is simply connected, then it is completely decomposable, ie, is diffeomorphic to the connected sum of several copies of the projective plane (possibly, with reversed orientation) and the quadric. Bibl. 11 titles.