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On the classification of non-complete algebraic surfaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 732)

Keywords

  • Exact Sequence
  • Elliptic Curve
  • Prime Component
  • Blow Down
  • Algebraic Surface

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References

  1. M. Artin: Some numerical criterion for contractibility of curves on algebraic surfaces, Amer. J. Math.,84(1962), 485–496.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. E. Bombieri: Canonical models of surfaces of general type, Publ. Math. IHES, 42 (1973), 171–219.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. S. Iitaka: Deformations of compact complex surfaces II, Jour. Math. Soc. Jap., 22 (1970), 247–261.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. S. Iitaka: On logarithmic Kodaira dimension of algebraic varieties, Complex Analysis and Algebraic Geometry, 1977, Iwanami, Tokyo.

    MATH  Google Scholar 

  5. U. Karras: Eigenschaften der lokalen Ringe in zweidimensionalen Spitzen, Math. Ann., 215 (1975), 117–129.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Y. Kawamata: On deformations of compactifiable complex manifolds, Math. ann., 235 (1978), 247–265.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Y. Kawamata: Addition formula of logarithmic Kodaira dimension for morphisms of relative dimension one, Proc. Alg. Geometry in Kyoto, 1977.

    Google Scholar 

  8. K. Kodaira: On compact analytic surfaces II, Ann. of Math., 77 (1963), 563–626.

    CrossRef  MATH  Google Scholar 

  9. D. Mumford: The canonical ring of an algebraic surface, appendix to 14.

    Google Scholar 

  10. D. Mumford: Enriques' classification of surfaces in char p, Global Analysis, 1969, Univ. Tokyo and Univ. Princeton.

    Google Scholar 

  11. K. Saito: Einfach-elliptische Singularitäten, Inv. Math., 23 (1974), 289–325.

    CrossRef  MATH  Google Scholar 

  12. F. Sakai: Logarithmic pluricanonical maps of algebraic surfaces, preprint.

    Google Scholar 

  13. P. Wagreich: Elliptic signularities of surfaces, Amer. J. Math., 92 (1970), 419–454.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. O. Zariski: The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface, Ann. of Math., 76 (1962), 560–615.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1979 Springer-Verlag

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Kawamata, Y. (1979). On the classification of non-complete algebraic surfaces. In: Lønsted, K. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066646

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  • DOI: https://doi.org/10.1007/BFb0066646

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09527-9

  • Online ISBN: 978-3-540-35049-1

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