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On the Burkhardt quartic

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References

  1. Arnold, V.I., Gusein-Zade, S.M., Varchenco, A.N.: Singularities of differentiable maps, vol. I. Basel Boston Stuttgart: Birkhäuser 1985

    Book  Google Scholar 

  2. Artin, M.: On the solutions of analytic equations. Invent. Math.5, 277–291 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  3. Burkhardt, H.: Grundzüge einer allgemeinen Systematik der hyperelliptischen Funktionen I. Ordnung. Math. Ann.38, 161–224 (1891)

    Article  MathSciNet  Google Scholar 

  4. Brieskorn, E., Knörrer, H.: Ebene algebraische Kurven. Basel Boston Stuttgart: Birkhäuser 1981

    MATH  Google Scholar 

  5. Barth, W., Peters, C., Van de Ven, A.: Compact complex surfaces. Erg der Math. (3), 4. Berlin Heidelberg New York: Springer 1984

    Book  MATH  Google Scholar 

  6. Dolgacev, I.: Cohomologically insignificant degenerations of algebraic varieties. Compos. Math.42, 279–313 (1981)

    MathSciNet  MATH  Google Scholar 

  7. Friedman, R.D.: Simultaneous resolution of threefold double points. Math. Ann.274, 671–689 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  8. Fulton, W.: Intersection theory. Erg. der Math. (3),2. Berlin Heidelberg New York: Springer 1984

    Book  MATH  Google Scholar 

  9. Kalker, A.A.C.M.: Cubic fourfolds with fifteen ordinary double points. Thesis Leiden (1986)

  10. Miyaoka, Y.: The maximal number of quotient singularities on surfaces with given numerical invariants. Math. Ann.268, 159–171 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  11. Mitchell, H.H.: Determination of all primitive collineation groups in four variables which contain homologies. Amer. J. Math.36, 1–12 (1914)

    Article  MathSciNet  MATH  Google Scholar 

  12. Shephard, G.C., Todd, J.A.: Finite unitary reflection groups. Canad. J. Math.VI, 274–304 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  13. Varchenco, A.N.: On the semicontinuity of the spectrum and an upper bound for the number of singular points of projective hypersurfaces. Dokl. Akad. Nauk. U.S.S.R.270(6) (1983)

  14. Zariski, O.: Algebraic surfaces. Second edition. Erg. Math.61. Berlin Heidelberg New York: Springer 1971

    Book  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematisch Instituut, Toernoriveld, NL-6525 ED, Nÿmegen, Netherlands

    A. J. de Jong

  2. University of Illinois at Chicago, 60680, Chicago, IL, USA

    N. I. Shepherd-Barron

  3. Mathematisch Instituut, Postbus 9512, NL-2300 RA, Leiden, Netherlands

    A. Van de Ven

Authors
  1. A. J. de Jong
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  2. N. I. Shepherd-Barron
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  3. A. Van de Ven
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To H. Grauert, on the occasion of his sixtieth birthday

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de Jong, A.J., Shepherd-Barron, N.I. & Van de Ven, A. On the Burkhardt quartic. Math. Ann. 286, 309–328 (1990). https://doi.org/10.1007/BF01453578

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