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Mathematische Annalen

, Volume 263, Issue 2, pp 185–212 | Cite as

Smoothing cusp singularities of small length

  • Robert Friedman
  • Rick Miranda
Article

Keywords

Small Length Cusp Singularity 
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References

  1. 1.
    Friedman, R.: Global smoothings of varieties with normal crossings (to appear)Google Scholar
  2. 2.
    Friedman, R.: Base change, automorphisms, and stable reduction of Type III K 3 surfaces. In: The birational geometry of degenerations. Progr. Math.29 (1983) (to appear)Google Scholar
  3. 3.
    Hirzebruch, F.: Hilbert modular surfaces. Ens. Math.19 183–281 (1973)Google Scholar
  4. 4.
    Inoue, M.: New surfaces with no meromorphic functions. II. In: Complex analysis and algebraic geometry. Baily, W.L., Shioda, T. (eds.). Cambridge: Cambridge University Press 1977Google Scholar
  5. 5.
    Karras, U.: On pencils of elliptic curves and deformations of minimally elliptic singularities. Math. Ann.247, 43–65 (1980)Google Scholar
  6. 6.
    Kulikov, V.: Degenerations of K 3 surfaces and Enriques' surfaces. Math. USSR Izv.2, 957–989 (1977)Google Scholar
  7. 7.
    Laufer, H.: On minimally elliptic singularities. Am. J. Math.99, 1257–1295 (1977)Google Scholar
  8. 8.
    Looijenga, E.: Rational surfaces with an anti-canonical divisor. Ann. Math.114, 267–322 (1981)Google Scholar
  9. 9.
    Shepherd-Barron, N.: Extending polarizations on families of K 3 surfaces. In: The birational geometry of degenerations. Progr. Math.29 (1983) (to appear)Google Scholar
  10. 10.
    Wahl, J.: Elliptic deformations of minimally elliptic singularities. Math. Ann.253, 241–262 (1980)Google Scholar
  11. 11.
    Wahl, J.: Smoothings of normal surface singularities. Topology20, 219–246 (1981)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Robert Friedman
    • 1
  • Rick Miranda
    • 2
  1. 1.Department of MathematicsColumbia UniversityNew York CityUSA
  2. 2.Department of MathematicsColorado State UniversityFort CollinsUSA

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