Mathematische Zeitschrift

, Volume 193, Issue 4, pp 537–558

On extremal rational elliptic surfaces

  • Rick Miranda
  • Ulf Persson
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. [B]
    Beauville, A.: Les familles stables de courbes elliptiques sur ℙ1 admettant quatre fibres singulieres. C.R. Acad. Sc. Paris, t.294, 657–660 (1982)Google Scholar
  2. [BPV]
    Barth, W., Peters, C., Van de Ven, A.: Compact complex surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Bd. 4. Berlin Heidelberg New York: Springer 1984Google Scholar
  3. [H]
    Schmickler-Hirzebruch, U.: Elliptische Flächen über ℙ1ℂ mit drei Ausnahmefasern und die hypergeometrische Differentialgleichung. Schriftreihe des Mathematischen Instituts der Universität Münster, Februar 1985Google Scholar
  4. [K1]
    Kodaira, K.: On compact complex analytic surfaces II. Ann. Math.77, 563–626 (1963)Google Scholar
  5. [K2]
    Kodaira, K.: On the structure of compact complex analytic surfaces II. Am. J. Math.88, 682–721 (1966)Google Scholar
  6. [M]
    Miranda, R.: The moduli of Weierstrass fibrations over 557-3. Math. Ann.255, 379–394 (1981)Google Scholar
  7. [M-P]
    Morrison, I., Perrson, U.: Numerical sections on elliptic surfaces. Compos. Math. (To appear)Google Scholar
  8. [P1]
    Persson, U.: Horikawa surfaces with maximal Picard numbers. Math. Ann.259, 287–312 (1982)Google Scholar
  9. [P2]
    Persson, U.: Double sextics and singular K-3 surfaces. Algebraic Geometry, Proceedings SLN (1985)Google Scholar
  10. [S]
    Shioda, T.: On elliptic modular surfaces. J. Math. Soc. Japan24, 20–59 (1972)Google Scholar
  11. [T]
    Tate, J.: On the conjecture of Birch and Swinnerton-Dyer. Sem. Bourbaki Exp.306, 1–26 (1966)Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Rick Miranda
    • 1
  • Ulf Persson
    • 2
  1. 1.Department of MathematicsColorado State UniversityFort CollinsUSA
  2. 2.Department of MathematicsUppsala UniversityUppsalaSweden

Personalised recommendations