Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-11T01:23:06.721Z Has data issue: false hasContentIssue false
  • English
  • Français

ZARISKI PAIRS OF INDEX 19 AND MORDELL–WEIL GROUPS OF K3 SURFACES

Published online by Cambridge University Press:  01 January 2000

ENRIQUE ARTAL BARTOLO  and
HIRO-O TOKUNAGA
ENRIQUE ARTAL BARTOLO
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, Campus Plaza San Francisco s/n, E-50009 Zaragoza, Spainartal@posta.unizar.es
HIRO-O TOKUNAGA
Affiliation:
Department of Mathematics, Kochi University, Kochi 780, Japantokunaga@math.kochi-u.ac.jp
Get access

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.

Keywords

sextic curves$K3$ surfaceselliptic fibrationAlexander polynomial
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 80 , Issue 1 , January 2000 , pp. 127 - 144
Copyright
2000 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)