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Elliptic surfaces with four singular fibres

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References

  1. Barth, W., Peters, C., van de Ven, A.: Compact complex surfaces. Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  2. Herfurtner, S.: Elliptische Flächen über ℙ1ℂ mit vier Ausnahmefasern. Diplomarbeit, Bonn 1988

  3. Hunt, B.: Gemischte automorphe Formen und elliptische Flächen. Diplomarbeit, Bonn 1982

  4. Hunt, B., Meyer, W.: Mixed automorphic forms and invariants of elliptic surfaces. Math. Ann.271, 53–80 (1985)

    Google Scholar 

  5. Kas, A.: Weierstrass normal forms and invariants of elliptic surfaces. Trans. Am. Math. Soc.225, 259–266 (1977)

    Google Scholar 

  6. Kodaira, K.: On compact analytic surfaces. I, II, III. Ann. Math.71, 111–152 (1960);77, 563–626 (1963);78, 1–40 (1963)

    Google Scholar 

  7. Meyer, W.: Die Signatur von lokalen Koeffizientensystemen und Faserbündeln. Bonn. Math. Schr.53 (1972)

  8. Meyer, W.: Die Signatur von Flächenbündeln. Math. Ann.201, 239–264 (1973)

    Google Scholar 

  9. Miranda, R.: Persson's list of singular fibers for a rational elliptic surface. Math. Z.205, 191–211 (1990)

    Google Scholar 

  10. Miranda, R., Persson, U.: On extremal rational elliptic surfaces. Math. Z.193, 537–558 (1986)

    Google Scholar 

  11. Naruki, I.: On confluences of singular fibres in elliptic fibrations. Publ. Res. Inst. Math. Sci.23, 409–431 (1987)

    Google Scholar 

  12. Persson, U.: Configuration of Kodaira fibers on rational elliptic surfaces. Math. Z.205, 1–47 (1990)

    Google Scholar 

  13. Schmickler-Hirzebruch, U.: Elliptische Flächen über ℙ1ℂ mit drei Ausnahmefasern und die hypergeometrische Differentialgleichung. Diplomarbeit, Bonn 1978; Schriftenr. Math. Inst. Univ. Münster, 2. Ser.33 (1985)

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Herfurtner, S. Elliptic surfaces with four singular fibres. Math. Ann. 291, 319–342 (1991). https://doi.org/10.1007/BF01445211

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  • DOI: https://doi.org/10.1007/BF01445211

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