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On surfaces of degree at most 2n+1 in Pn

Part of the Lecture Notes in Mathematics book series (LNM,volume 1056)

Keywords

  • Hyperplane Section
  • Abelian Surface
  • Ample Divisor
  • Kodaira Dimension
  • Canonical Divisor

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. A.BEAUVILLE, Surface algebriques complexes, Astérisque, Soc.Math.France, 54 (1978).

    Google Scholar 

  2. E. BOMBIERI, Canonical models of surfaces of general type, Publ.Math.IHES, 42(1972), pp.171–220.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. G.CASTELNUOVO, Memorie Scelte, Zanichelli, Bologna, 1939.

    Google Scholar 

  4. T. FUJITA, On the structure of polarized varieties, with Δ-genera zero, J.Fac.Sci.Univ.Tokyo 22(1975), 103–115.

    MathSciNet  MATH  Google Scholar 

  5. P. GRIFFITHS-J. HARRIS, Principles of algebraic geometry, John Wiley & Sons, New York, 1978.

    MATH  Google Scholar 

  6. J.HARRIS, A bound on the geometric genus of projective varieties, Ann.Scuola Norm.Sup.Pisa, (1981), pp.35–68.

    Google Scholar 

  7. R. HARTSHORNE, Algebraic geometry, Springer Verlag, Berlin, 1977.

    CrossRef  MATH  Google Scholar 

  8. P.IONESCU, An enumeration of all smooth projective varieties of degree 5 and 6, Preprint INCREST, Bucharest, 74(1981).

    Google Scholar 

  9. P.IONESCU, Varieties with sectional genus 2. Preprint INCREST, Bucharest, 110(1981).

    Google Scholar 

  10. M.REID, Surfaces with pg=0, K2=2, to appear.

    Google Scholar 

  11. A. VAN DE VEN, On the 2-connectedness of very ample divisors on a surface. Duke Math.J., 46–2(1979), pp.403–407.

    MathSciNet  MATH  Google Scholar 

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© 1984 Springer-Verlag

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Buium, A. (1984). On surfaces of degree at most 2n+1 in Pn . In: Bădescu, L., Popescu, D. (eds) Algebraic Geometry Bucharest 1982. Lecture Notes in Mathematics, vol 1056. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071769

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  • DOI: https://doi.org/10.1007/BFb0071769

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12930-1

  • Online ISBN: 978-3-540-38811-1

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