Zariski Pairs of Index 19 and Mordell-Weil Groups of K3 Surfaces |
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| Authors: | Bartolo, Enrique Artal Tokunaga, Hiro-O |
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| Affiliation: | Departamento de Matemáticas, Universidad de Zaragoza Campus Plaza San Francisco s/n, E-50009 Zaragoza, Spain; artal{at}posta.unizar.es
Department of Mathematics, Kochi University Kochi 780, Japan; tokunaga{at}math.kochi-u.ac.jp |
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| Abstract: | We find Zariski pairs of sextics with simple singularities havingmaximal total Milnornumber. We also relate them to the existenceof distinct MordellWeil groups of extremal elliptic K3surfaces with a fixed set of semistable singular fibres. 1991Mathematics Subject Classification: 14F45, 14F27, 14F28. |
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| Keywords: | sextic curves K3 surfaces elliptic fibration Alexander polynomial |
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