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VOL. 60 | 2010 Topology of curves on a surface and lattice-theoretic invariants of coverings of the surface
Ichiro Shimada

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

Abstract

Let $S$ be a smooth simply-connected complex projective surface, and let $A$ be a finite abelian group. We define invariants $T_A$, $F_A$ and $\sigma_A$ for curves $B$ on $S$ by means of étale Galois coverings of the complement of $B$ with the Galois group $A$, and show that they are useful in finding examples of Zariski pairs of curves on $S$. We also investigate the relation between these invariants and the fundamental group of the complement of $B$.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1214.14030
MathSciNet: MR2766988

Digital Object Identifier: 10.2969/aspm/06010361

Subjects:
Primary: 14E20, 14H50

Rights: Copyright © 2010 Mathematical Society of Japan

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