• Title/Summary/Keyword: elliptic fibrations

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WHEN IS THE CLASSIFYING SPACE FOR ELLIPTIC FIBRATIONS RANK ONE?

  • YAMAGUCHI TOSHIHIRO
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.521-525
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    • 2005
  • We give a necessary and sufficient condition of a rationally elliptic space X such that the Dold-Lashof classifying space Baut1X for fibrations with the fiber X is rank one. It is only when X has the rational homotopy type of a sphere or the total space of a spherical fibration over a product of spheres.

ON EXTREMAL ELLIPTIC K3 SURFACES

  • Ye, Qiang
    • Journal of the Korean Mathematical Society
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    • v.36 no.6
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    • pp.1091-1113
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    • 1999
  • In this paper, we first classify the possible configurations of fibrations which are not semi-stable on extremal elliptic K3 surfaces. Then we give a complete list of extremal elliptic K3 surfaces whose singular fibers are all not of type $I_n$.

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