Kummer covers and braid monodromy
Algebraic Geometry
2018-05-04 v2 Group Theory
Geometric Topology
Abstract
In this work we describe a method to reconstruct the braid monodromy of the preimage of a curve by a Kummer cover. This method is interesting, since it combines two techniques, namely, the reconstruction of a highly non-generic braid monodromy with a systematic method to go from a non-generic to a generic braid monodromy. This "generification" method is independent from Kummer covers and can be applied in more general circumstances since non generic braid monodromies appear more naturally and are oftentimes much easier to compute. Explicit examples are computed using these techniques.
Keywords
Cite
@article{arxiv.1205.5427,
title = {Kummer covers and braid monodromy},
author = {Enrique Artal Bartolo and Jose I. Cogolludo-Agustin and Jorge Ortigas-Galindo},
journal= {arXiv preprint arXiv:1205.5427},
year = {2018}
}
Comments
34 pages, 16 figures