An arithmetic Zariski 4tuple of twelve lines
Abstract
Using the invariant developed in [6], we differentiate four arrangements with the same combinatorial information but in different deformation classes. From these arrangements, we construct four other arrangements such that there is no orientationpreserving homeomorphism between them. Furthermore, some couples of arrangements among this 4tuplet form new arithmetic Zariski pairs, i.e. a couple of arrangements with the same combinatorial information but with different embedding in $\mathbb{CP}^2$.
 Publication:

arXiv eprints
 Pub Date:
 November 2014
 DOI:
 10.48550/arXiv.1411.2300
 arXiv:
 arXiv:1411.2300
 Bibcode:
 2014arXiv1411.2300G
 Keywords:

 Mathematics  Geometric Topology;
 32S22;
 32Q55;
 54F65
 EPrint:
 14 pages, 8 figures