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

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Finashin S.

REVISTA MATEMÁTICA COMPLUTENSE, vol.10, no.Suplementario, pp.111-118, 1997 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 10 Issue: Suplementario
• Publication Date: 1997
• Journal Name: REVISTA MATEMÁTICA COMPLUTENSE
• Page Numbers: pp.111-118
• Middle East Technical University Affiliated: Yes

Abstract

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.