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Quotients by complex conjugation for real complete intersection surfaces

S. Finashin
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Abstract

Quotients $Y=X/conj$ by the complex conjugation $conj\: X\to X$ for complex surfaces $X$ defined over $\R$ tend to be completely decomposable when they are simply connected, i.e., split into connected sums $\#_n CP^2\#_m\barCP^2$ if $w_2(Y)\ne0$, or into $\#_n(S^2\times S^2)$ if $w_2(Y)=0$. The author proves this property for complete intersections which are constructed by method of a small perturbation.

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S. Finashin. 1995-12-11. Quotients by complex conjugation for real complete intersection surfaces. https://arxiv.org/abs/dg-ga/9512005

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