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On the enriques classification of algebraic surfaces

  • A. Van De Ven
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 677)

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References

  1. [1]
    M. ARTIN — On Enriques surfaces, Thesis, Harvard University (1960).Google Scholar
  2. [2]
    E. BOMBIERI and D. HUSEMÖLLER-Classification and embeddings of surfaces, Algebraic Geometry, Arcata 1974, Proc. Symp. Pure Math., 29 (1975), 329–420.CrossRefGoogle Scholar
  3. [3]
    E. BOMBIERI and D. MUMFORD-Enriques classification of surfaces: II Complex analysis and algebraic geometry, a collection of papers dedicated to K. Kodaira, Shoten, Tokyo and Cambr. Univ. Press, Cambridge (1977); III, Inv. Math., 35 (1976), 197–232.Google Scholar
  4. [4]
    G. CASTELNUOVO-Sulle superficie di genere zero, Mem. Soc. It. delle Scienze, (3) 10 (1896), 103–126 = Mem. Scelte 307–334, Zanichelli, Bologna (1937).Google Scholar
  5. [5]
    P. DELIGNE et M. RAPOPORT-Les schémas de modules de courbes elliptiques, Lecture Notes in Math., vol. 349, 1975, 143–316, Springer, Berlin-Heidelberg-New York.MathSciNetCrossRefGoogle Scholar
  6. [6]
    F. ENRIQUES-Le superficie algebriche, Zanichelli, Bologna (1949).zbMATHGoogle Scholar
  7. [7]
    K. KODAIRA-On compact analytic surfaces: I, Ann. of Math., 71 (1960), 111–152; II ibid. 77 (1963), 563–626; III, ibid. 78 (1963), 1–40.MathSciNetzbMATHCrossRefGoogle Scholar
  8. [8]
    K. KODAIRA-On the structure of compact complex analytic surfaces: I,Amer.J.Math. 86(1964), 751–198; II, ibid., 88 (1966), 682–721; III, ibid., 90 (1968), 55–83; IV, ibid., 90 (1968), 1048–1066.MathSciNetzbMATHCrossRefGoogle Scholar
  9. [9]
    D. MUMFORD — Lectures on curves on an algebraic surface, Ann. of Math. Studies, 59 (1966), Princeton Univ. Press, Princeton.zbMATHGoogle Scholar
  10. [10]
    D. MUMFORD — Enriques classification of surfaces in chap p: I, Global Analysis Papers in Honour of K. Kodaira, University of Tokyo Press and Princeton Univ. Press (1969).Google Scholar
  11. [11]
    A. N. PARŠIN — Algebraic curves over functions fields I, Irv. Akad. Nauk. U.S.S.R., Ser. Math., 32 (1968), [Translation: Math. U.S.S.R. Irv., 2 (1968), 1145–1170].Google Scholar
  12. [12]
    H. POPP-On moduli of algebraic varieties, III: Fine moduli spaces, Comp. Math., 31 (1975), 237–286.MathSciNetGoogle Scholar
  13. [13]
    I. R. ŠAFAREVIČ et al. — Algebraic surfaces, Proc. Steklov Inst. of Math. Moskwa, (1965), [Translation A.M.S., 1967].Google Scholar
  14. [14]
    I. R. ŠAFAREVIČ — Le théorème de Torelli pour les surfaces algébriques de type K3, Actes du congrès int. des math. Nice I, 413–417, Gauthier-Villars, Paris (1971).Google Scholar
  15. [15]
    K. UENO-Classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Math., vol. 439, Springer, Berlin-Heidelber-New York, (1975).zbMATHGoogle Scholar
  16. [16]
    K. UENO-Kodaira dimensions for certain fibre spaces, Complex analysis and algebraic geometry, A collection of papers, dedicated to K. Kodaira, Shoten Tokyo, and Cambr. Univ. Press, Cambridge, (1977).Google Scholar
  17. [17]
    A. VAN DE VEN — Some recent results on surfaces of general type, Sém. Bourbaki, Exposé 500, fév. 1977, dans ce volume, p.-Google Scholar
  18. [18]
    E. VIEHWEG-Canonical divisors and the additivity of the Kodaira dimension for morphisms of relative dimension 1, Comp. Math. 35 (1977), 197–223.MathSciNetzbMATHGoogle Scholar
  19. [19]
    O. ZARISKI-On Castelnuovo’s criterion of rationality in the theory of algebraic surfaces, III, Ill. J. of Math., 2 (1958), 303–315.MathSciNetzbMATHGoogle Scholar
  20. [20]
    E. HORIKAWA-On the periods of Enriques surfaces I,II. Proc. Japan Acad. 53 (1977), 124–127, and ibid. Ser A 5(1977), 53–55.MathSciNetzbMATHCrossRefGoogle Scholar
  21. [21]
    D. GIESEKER-Global moduli for surfaces of general type. Invent. Math. 43 (1977), 233–282.MathSciNetzbMATHCrossRefGoogle Scholar

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© N. Bourbaki 1978

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  • A. Van De Ven

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