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. 
@article{IM2_1976_10_2_a2,
     author = {F. A. Bogomolov},
     title = {Classification of surfaces of class~$\mathrm{VII}_0$ with~$b_2=0$},
     journal = {Izvestiya. Mathematics },
     pages = {255--269},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a2/}
}
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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/