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Surfaces of class $$VII_ 0$$ with curves. (English) Zbl 0476.14013

##### MSC:
 14J10 Families, moduli, classification: algebraic theory 32J15 Compact complex surfaces 14J15 Moduli, classification: analytic theory; relations with modular forms
##### Keywords:
structure of VII-surface; Inoue surface
##### Citations:
Zbl 0365.14011; Zbl 0421.32010
Full Text:
##### References:
 [1] L. AHLFORS, Complex Analysis (2nd ed.), McGraw-Hill, New York, 1966. · Zbl 0395.30001 [2] I. ENOKI, On surfaces of Class V0 with curves, Proc. Japan Acad. 56 (1980), 275-279 · Zbl 0462.32012 [3] H. GRAUERT, Uber Modifikationen und exzeptionelle analytische Mengen, Math. Ann. 14 (1962), 331-368. · Zbl 0178.42702 [4] M. INOUE, New surfaces with no meromorphic functions, Proc. Int. Congress of Math., Vancouver 1974, Vol. 1, (R. James, ed.), 1975, 423-426. · Zbl 0365.14010 [5] M. INOUE, New surfaces with no meromorphic functions, II, Complex Analysis and Al gebraic Geometry, (W. L. Baily, Jr., T. Shioda eds.), Iwanami Shoten, Tokyo, 1977, 91-106. · Zbl 0365.14011 [6] MA. KATO, Compact complex manifolds containing ”global” spherical shells, I, Proc. Int Symp. on Algebraic Geometry, Kyoto 1977, (M. Nagata, ed.) Kinokuniya Book-Store, Tokyo, 1978, 45-84. · Zbl 0421.32010 [7] K. KODAIRA, On compact complex analytic surfaces, II, Ann. of Math. 77 (1963), 563-626 · Zbl 0118.15802 [8] K. KODAIRA, On the structure of compact complex analytic surfaces, I, Amer. J. Math 86 (1964), 751-798; ibid. 88 (1966), 682-721; IV, ibid. 80 (1968), 1048-1066. JSTOR: · Zbl 0137.17501 [9] K. KODAIRA AND D. SPENCER, A theorem of completeness for complex fibre spaces, Act Math. 100 (1958), 281-294. · Zbl 0124.16502 [10] R. NARASIMHAN, Introduction to the Theory of Analytic Spaces, Lecture Notes in Math No. 25, Springer-Verlag, Berlin-Heidelberg-New York, 1966. · Zbl 0168.06003 [11] C. P. RAMANUJAM, A topological characterization of the affine plane as an algebraic variety, Ann. of Math. 94 (1971), 69-88. JSTOR: · Zbl 0218.14021 [12] Y. T. Siu, Every Stein subvariety admits a Stein neighborhood, Inv. Math. 38 (1976), 89-100. · Zbl 0343.32014 [13] T. UEDA, Compactifications of C x C* and (C*)2, Thoku Math. J. 31 (1979), 81-90 · Zbl 0408.14011
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