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