Homotopy, diffeomorphism, and deformation classifications of certain surfaces of class 𝑉𝐼𝐼

Homotopy, diffeomorphism, and deformation classifications of certain surfaces of class $\textrm {VII}$
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Proc. Amer. Math. Soc. 118 (1993), 165-170 Request permission

We study the homotopy, diffeomorphism, and deformation classifications of all known surfaces of class VII which are not Hopf surfaces.

References

Ichiro Enoki, Surfaces of class $\textrm {VII}_{0}$ with curves, Tohoku Math. J. (2) 33 (1981), no. 4, 453–492. MR 643229, DOI 10.2748/tmj/1178229349
Robert Friedman and John W. Morgan, Smooth four-manifolds and complex surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 27, Springer-Verlag, Berlin, 1994. MR 1288304, DOI 10.1007/978-3-662-03028-8
Masahisa Inoue, On surfaces of Class $\textrm {VII}_{0}$, Invent. Math. 24 (1974), 269–310. MR 342734, DOI 10.1007/BF01425563
Masahisa Inoue, New surfaces with no meromorphic functions, Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974) Canad. Math. Congress, Montreal, Que., 1975, pp. 423–426. MR 0442296
M. Inoue, New surfaces with no meromorphic functions. II, Complex analysis and algebraic geometry, Iwanami Shoten, Tokyo, 1977, pp. 91–106. MR 0442297
Ma. Kato, Compact complex manifolds containing “global” spherical shells. I, Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977) Kinokuniya Book Store, Tokyo, 1978, pp. 45–84. MR 578853
Iku Nakamura, $\textrm {VII}_{0}$ surfaces and a duality of cusp singularities, Classification of algebraic and analytic manifolds (Katata, 1982) Progr. Math., vol. 39, Birkhäuser Boston, Boston, MA, 1983, pp. 333–378. MR 728613