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ZARISKI PAIRS OF INDEX 19 AND MORDELL–WEIL GROUPS OF K3 SURFACES
Published online by Cambridge University Press: 01 January 2000
Abstract
We find Zariski pairs of sextics with simple singularities having maximal total Milnornumber. We also relate them to the existence of distinct Mordell--Weil groups of extremal elliptic $K3$ surfaces with a fixed set of semistable singular fibres.
1991 Mathematics Subject Classification: 14F45, 14F27, 14F28.
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- Research Article
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- 2000 London Mathematical Society
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