The topology of normal singularities of an algebraic surface and a criterion for simplicity

  • David Mumford
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References

  1. [1]
    H. Behnke andH. Grauert, Analysis in non-compact Spaces, inAnalytic Functions, Princeton, 1960.Google Scholar
  2. [2]
    A. Borel andJ.-P. Serre, Le Théorème de Riemann-Roch,Bull. Soc. Math. France, 86, 1958.Google Scholar
  3. [3]
    K. Brauner, Klassifikation der Singularitäten Algebroiden Kurven,Abh. Math. Semin. Hamburg, 6, 1928.Google Scholar
  4. [4]
    F. Enriques,Le Superficie Algebriche, Zanichelli, Bologna, 1949.MATHGoogle Scholar
  5. [5]
    A. Kurosch,Theory of Groups, vol. 2, Chelsea, N.Y.Google Scholar
  6. [6]
    T. Matsusaka, On Algebraic Familes of Positive Divisors,J. Math. Soc. Japan, 5, 1953.Google Scholar
  7. [7]
    P. Samuel, Multiplicités de certaines composantes singulières,Ill. J. Math., 3, 1959.Google Scholar
  8. [8]
    H. Seifert andW. Threlfall,Lehrbuch der Topologie, Teubner, 1934.Google Scholar
  9. [9]
    H. Seifert andW. Threlfall,Variationsrechnung im Grossen, Chelsea, 1951.Google Scholar
  10. [10]
    S. Smale, The Classification of Immersions of Spheres in Euclidean Space,Annals Math., 69, 1959.Google Scholar
  11. [11]
    R. Thom,Forthcoming paper on the differential structures on cells and spheres.Google Scholar
  12. [12]
    H. Weyl,Algebraic Theory of Numbers, Princeton, 1940.Google Scholar
  13. [13]
    J. H. C. Whitehead, Simplicial Spaces, Nuclei, andm-Groups,Proc. London Math. Soc., 45, 1939.Google Scholar
  14. [14]
    O. Zariski, On the Topology of Algebroid Singularities,Am. J. Math., 54, 1932.Google Scholar
  15. [15]
    O. Zariski, The Reduction of Singularities of an Algebraic Surface,Annals Math., 40, 1939.Google Scholar
  16. [16]
    O. Zariski, Foundations of a General Theory of Birational Correspondences,Trans. Am. Math. Soc., 53, 1943.Google Scholar
  17. [17]
    O. Zariski, Theory and Applications of Holomorphic Functions on an Algebraic Variety of Arbitrary Characteristic,Memoirs of the Am. Math. Soc., 1951.Google Scholar
  18. [18]
    O. Zariski, Introduction to the Problem of Minimal Models,J. Math. Soc. Japan, 1958.Google Scholar
  19. [19]
    J. E. Reeve, A Note on Fractional Intersection Multiplicities,Rend. Circolo Mat. Palermo, 1, 1958.Google Scholar
  20. [20]
    H. Seifert, Topologie Dreidimensionaler Gefaserter Räume,Acta Math., 60, 1932.Google Scholar
  21. [21]
    J. Igusa, Arithmetic Genera of Normal Varieties in an Algebraic Family,Proc. Nat. Acad. Sci., 41, 1955.Google Scholar

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© Publications mathématiques de l’I.H.É.S 1961

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  • David Mumford

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