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Notes on elliptic K3 surfaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1240)

Keywords

  • Modular Form
  • Elliptic Curve
  • Hodge Structure
  • Elliptic Surface
  • Kummer Surface

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References

  1. D. Cox and S. Zucker, Intersection numbers of sections of elliptic surfaces, Inv. M. 53 (1979), pp. 1–44.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Y. Endo, Parabolic cohomologies and generalized cusp forms of weight three associated to Weierstrass equations over function fields, Thesis, Temple University, 1985.

    Google Scholar 

  3. W. Hoyt, On surfaces associated with an indefinite ternary lattice, LNM 1135, Springer 1985, 197–210.

    Google Scholar 

  4. H. Inose, On certain Kummer surfaces which can be realized as non-singular quartics in ℙ3, J. Fac. Sci., Univ. of Tokyo, 23 (1976), pp. 545–560.

    MathSciNet  MATH  Google Scholar 

  5. _____, Defining equations of singular K3 surfaces and a notion of isogeny, Int. Symp. on Algebraic Geometry, Kyoto, 1977, pp. 495–502.

    Google Scholar 

  6. K. Kodaira, On compact analytic surfaces II, Ann. of M., 77 (1963), pp. 563–626.

    CrossRef  MATH  Google Scholar 

  7. D. Morrison, On K3 surfaces with large Picard number, Inv. M. 75 (1984), pp. 105–121.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. U. Schmickler-Hirzebruch, Elliptische Flachen uber ℙ1(ℂ) mit drei ausnhmefasern und die hypergeometrische Differentialgleichung, Schriftenreihe Math. Inst. Univ. Munster, 1985.

    Google Scholar 

  9. G. Shimura, Sur les integrales attachees aux formes automorphes, JMS Japan 11 (1959), 291–311.

    MathSciNet  Google Scholar 

  10. T. Shioda, Algebraic cycles on certain K3 surfaces in characteristic p, in Manifolds-Tokyo 1973, Univ. of Tokyo Press 1975, pp. 357–364.

    Google Scholar 

  11. T. Shioda and H. Inose, On singular K3 surfaces, Complex Analysis and Algebraic Geometry, Iwanami Shoten 1977, pp. 119–136.

    Google Scholar 

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© 1987 Springer-Verlag

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Hoyt, W.L. (1987). Notes on elliptic K3 surfaces. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072981

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  • DOI: https://doi.org/10.1007/BFb0072981

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17669-5

  • Online ISBN: 978-3-540-47756-3

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