Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
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J. Korean Math. Soc. 1999; 36(6): 1091-1113

Printed November 1, 1999

Copyright © The Korean Mathematical Society.

On extremal elliptic $K3$ surfaces

Qiang Ye

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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 $I_n$.

Keywords: Mordell-Weil groups, lattice

MSC numbers: 14J28, 14J27

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