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The group of sections on a rational elliptic surface

Part of the Lecture Notes in Mathematics book series (LNM,volume 997)

Keywords

  • Base Point
  • Exceptional Divisor
  • Blow Down
  • Elliptic Surface
  • Irreducible Curve

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References

  1. Kodaira, K.: On Compact Analytic Surfaces, II,III, Ann. of Math. 77 (1963), 563–626; ibid 78 (1963), 1–40.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Manin, Yu. I.: Cubic Forms., Amsterdam, North-Holland (1974).

    MATH  Google Scholar 

  3. Manin, Yu. I.: The Tate Height of Points on an Abelian Variety. Its Variants and Applications. A.M.S. Translations, Ser. 2,59 59 (1966), 82–110.

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  4. Miranda, R.: On the Stability of Rational Elleptic Surfaces with Section, Thesis (1979) M.I.T.

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  5. Morrison, I. and Persson, U.: Numerical Sections on Elliptic Surfaces (to appear).

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  6. Nagata, M.: On Rational Surfaces, I, II. Mem. Coll. Sci. Univ. Kyoto, Ser. A. Math. 32 (1960), 351–370; ibid. 33(1960–1961), 271–293.

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  7. Persson, U.: Double Coverings and Surfaces of General Type, 168–195 in: Algebraic Geometry, Springer L.N.M. 687 (1977).

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  8. Shioda, T.: On Elliptic Modular Surfaces, J. Math. Soc. Japan, 24 (1972), 20–59.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Tate, J.: On the Conjecture of Birch and Swrnnerton-Dyer and a Geometric Analogue, Sem. Bourbaki, Exp. 306, (Feb. 1966), 1–26.

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© 1983 Springer-Verlag

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Morrison, I., Persson, U. (1983). The group of sections on a rational elliptic surface. In: Ciliberto, C., Ghione, F., Orecchia, F. (eds) Algebraic Geometry — Open Problems. Lecture Notes in Mathematics, vol 997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061651

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  • DOI: https://doi.org/10.1007/BFb0061651

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  • Print ISBN: 978-3-540-12320-0

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