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On surfaces of class VII0 with curves

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References

  1. Artin, M.: Some numerical criteria for contractibility of curves on algebraic surfaces. Amer. J. Math.84, 485–496 (1964)

    Google Scholar 

  2. Enoki, I.: Surfaces of class VII0 with curves. Tohoku Math. J.33, 453–492 (1981)

    Google Scholar 

  3. Grauert, H.: Über Modifikationen und exzeptionelle analytische, Mengen. Math. Ann.146, 331–368 (1962)

    Google Scholar 

  4. Inoue, M.: On surfaces of class VII0. Invent. Math.24, 269–310 (1974)

    Google Scholar 

  5. Inoue, M.: New surfaces with no meromorphic functions. Proc. Int. Cong. Math., Vancouver, vol. 1, 423–426 (1974)

    Google Scholar 

  6. Inoue, M.: New surfaces with no meromorphic functions. II. Complex Analysis and Algebraic Geometry, Iwanami Shoten Publ. and Cambridge Univ. Press, pp. 91–106 (1977)

  7. Karras, U.: Deformations of cusp singularities. Proc. of Symposia in Pure Math.30, 37–44 (1977)

    Google Scholar 

  8. Kato, Ma.: Compact complex manifolds containing “global spherical shells”. I. Proc. Int. Symp. Algebraic Geometry, Kyoto, pp. 45–84 (1977)

  9. Kato, Ma.: On a certain class of non-algebraic non-Kähler compact complex manifolds. Preprint

  10. Kawamata, Y.: On deformations of compactifiable complex manifolds. Math. Ann.235, 247–265 (1978)

    Google Scholar 

  11. Kodaira, K.: On compact complex analytic surface, I, II. Ann. Math.71, 111–152 (1960);77, 563–626 (1962)

    Google Scholar 

  12. Kodaira, K.: On the structure of compact complex analytic surfaces, I, II, III, IV. Amer. J. Math.,86, 751–798 (1964);88, 682–721 (1966);90, 55–83 (1968);90, 170–192 (1968)

    Google Scholar 

  13. Kodaira, K.: On stability of compact submanifolds of complex manifolds. Amer. J. Math.85, 79–94 (1963)

    Google Scholar 

  14. Laufer, H.: Normal two dimensional singularities. Annals of Math. Studies, Princeton Univ. Press, (1971)

  15. Laufer, H.: Taut two dimensional singularities. Math. Ann.205, 131–164 (1973)

    Google Scholar 

  16. Laufer, H.: Versal deformation for two dimensional pseudoconvex manifolds. Annali d. Scuola Nurm. Sup. di Pisa7, 511–521 (1980)

    Google Scholar 

  17. Nakamura, I.: Inoue-Hirzebruch surfaces and a duality of hyperbolic unimodular singularities, I. Math. Ann.252, 221–235 (1980)

    Google Scholar 

  18. Nakamura, I.: On surfaces of class VII0 with curves. Proc. Japan. Acad.58A, 380–383 (1982)

    Google Scholar 

  19. Nakamura, I.: On surfaces of class VII0 with global spherical shells. Proc. Japan Acad.58A, 29–32 (1983)

    Google Scholar 

  20. Nakamura, I.: VII0 surfaces and a duality of cusp singularities,Classification of algebraic and analytic manifolds, Progress in Mathematics, vol. 39, pp. 333–378, Birkhäuser 1983

    Google Scholar 

  21. Oda, T.: Torus embeddings and applications. Tata Inst. Lecture Notes, Bombay (1978)

Download references

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Nakamura, I. On surfaces of class VII0 with curves. Invent Math 78, 393–443 (1984). https://doi.org/10.1007/BF01388444

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