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A resolution of the sylvester-gallai problem of J.-P. serre

  • Published: 01 June 1986
  • Volume 1, pages 101–104 (1986)
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A resolution of the sylvester-gallai problem of J.-P. serre
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  • L. M. Kelly1 
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References

  1. F. Hirzebruch, Singularities of Algebraic Surfaces and Characteristic Numbers, Max Planck Inst. für Mathematik, Bonn, 1984.

    Google Scholar 

  2. F. Hirzebruch, Arrangements of lines and algebraic surfaces, in Arithmetic and Geometry (Papers dedicated to I. R. Shafarevich), vol. 2, 113–140, Birkhäuser, 1983.

    Article  MathSciNet  Google Scholar 

  3. S. Kobayashi, Recent results in complex differential geometry, Jber. d. Dt. Math-Verein 83 (1981), 147–158.

    MATH  Google Scholar 

  4. E. Melchior, Über Vielseite der projective Ebene, Deutsche Math. 5 (1940), 461–475.

    MathSciNet  Google Scholar 

  5. Y. Miyaoka, On the Chern class numbers of surfaces of general type, Inv. Math. 42 (1977), 225–237.

    Article  MathSciNet  MATH  Google Scholar 

  6. T. S. Motzkin, The lines and planes connecting the points of a finite set, Trans. Am. Math. Soc. 70 (1951), 451–464.

    Article  MathSciNet  MATH  Google Scholar 

  7. F. Sakai, Semi-stable curves on algebraic surfaces and logarithmic pluricanonical maps, Math. Ann. 254 (1980), 89–120.

    Article  MathSciNet  MATH  Google Scholar 

  8. J.-P. Serre, Problem 5359, Am. Math. Monthly 73 (1966), 89.

    Google Scholar 

  9. J. J. Sylvester, Mathematical question 11851, Educational Times 59 (1893), 98.

    Google Scholar 

  10. S. T. Yau, Calabi's conjecture and some new results in algebraic geometry, Proc. Nat. Acad. Sci. USA 74 (1977), 1798–1799.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Michigan State University, 48824-1027, East Lansing, MI

    L. M. Kelly

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  1. L. M. Kelly
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Kelly, L.M. A resolution of the sylvester-gallai problem of J.-P. serre. Discrete Comput Geom 1, 101–104 (1986). https://doi.org/10.1007/BF02187687

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  • Received: 20 September 1985

  • Published: 01 June 1986

  • Issue date: June 1986

  • DOI: https://doi.org/10.1007/BF02187687

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Keywords

  • Complex Plane
  • Complex Space
  • Ideal Point
  • Discrete Comput Geom
  • Algebraic Surface

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