Strata of discriminantal arrangements
Combinatorics
2018-06-15 v2 Algebraic Geometry
Algebraic Topology
Abstract
We give an explicit description of the multiplicities of codimension two strata of discriminantal arrangements introduced by Manin and Schechtman. As applications, we discuss the connection of these results with properties of Gale transform and we calculate the fundamental groups of the complements to discriminantal arrangements.
Cite
@article{arxiv.1601.06475,
title = {Strata of discriminantal arrangements},
author = {A. Libgober and S. Settepanella},
journal= {arXiv preprint arXiv:1601.06475},
year = {2018}
}
Comments
17 pages, 1 figure. Final version, to appear in Journal of Singularities. Section 5 was deleted and corrected version of Theorem 5.1 will be described elsewhere. Numerous typos were also corrected through out the paper