RMC - Vol. 10 supplementary

Full paper in PDF:
$%S. M. Finashin, Complete decomposability of quotients by complex conjugation for real complete intersection surfaces, Rev. Mat. Univ. Complut. Madrid 10 (1997), supplementary, 111–118. %$

Complete Decomposability of Quotients by Complex Conjugation for Real Complete Intersection Surfaces

S. M. FINASHIN

Middle East Technical University
Ankara 06531 — Turkey

serge@rorqual.cc.metu.edu.tr

ABSTRACT

Suppose $X$ is a non-singular complex surface defined over $R$ , which is a complete intersection constructed by the method of a small perturbation, and $Y = X/conj$ is its quotient by the complex conjugation $conjX --> X$ . Assume that $conj$ has a fixed point. It is proved that $Y$ is diffeomorphic to a connected sum $2 2 #nCP #mCP$ if $w2(Y)/= 0$ , or $#n(S2× S2)$ if $w2(Y)= 0$ .

1991 Mathematics Subject Classification: Primary: 14P25; secondary: 57R55, 14M10.