An arithmetic Zariski 4-tuple of twelve lines
Geometric Topology
2016-03-09 v2
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 orientation-preserving homeomorphism between them. Furthermore, some couples of arrangements among this 4-tuplet form new arithmetic Zariski pairs, i.e. a couple of arrangements with the same combinatorial information but with different embedding in .
Cite
@article{arxiv.1411.2300,
title = {An arithmetic Zariski 4-tuple of twelve lines},
author = {Benoît Guerville-Ballé},
journal= {arXiv preprint arXiv:1411.2300},
year = {2016}
}
Comments
14 pages, 8 figures