Geodesic
Classification of surfaces of class~$\mathrm{VII}_0$ with~$b_2=0$
Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 255-269.

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In this paper we show that the only surfaces of class $\mathrm{VII}_0$ with $b_2=0$ are those constructed by Inoue in [4]. Bibliography: 11 titles. 
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F. A. Bogomolov. Classification of surfaces of class~$\mathrm{VII}_0$ with~$b_2=0$. Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 255-269. http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a2/

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