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
Abstract:
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.ย 4, 453โ492. 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), 269โ310. 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.ย 423โ426. MR 0442296
- M. Inoue, New surfaces with no meromorphic functions. II, Complex analysis and algebraic geometry, Iwanami Shoten, Tokyo, 1977, pp.ย 91โ106. MR 0442297
- Ma. Kato, Compact complex manifolds containing โglobalโ spherical shells. I, Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977) Kinokuniya Book Store, Tokyo, 1978, pp.ย 45โ84. 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, Birkhรคuser Boston, Boston, MA, 1983, pp.ย 333โ378. MR 728613
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 165-170
- MSC: Primary 32J15; Secondary 57R50, 57R55
- DOI: https://doi.org/10.1090/S0002-9939-1993-1169046-9
- MathSciNet review: 1169046