Open Access
VOL. 60 | 2010 Topology of curves on a surface and lattice-theoretic invariants of coverings of the surface
Chapter Author(s) Ichiro Shimada
Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso
Adv. Stud. Pure Math., 2010: 361-382 (2010) DOI: 10.2969/aspm/06010361

Abstract

Let S be a smooth simply-connected complex projective surface, and let A be a finite abelian group. We define invariants TA, FA and σA 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

Keywords: discriminant group , fundamental group , Galois covering , lattice , Zariski pair

Rights: Copyright © 2010 Mathematical Society of Japan

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