On line arrangements with odd multiplicities
Geometric Topology
2024-03-27 v1 Algebraic Geometry
Combinatorics
Abstract
We give restrictions on the weak combinatorics of line arrangements with singular points of odd multiplicity using topological arguments on locally-flat spheres in 4-manifolds. As a corollary, we show that there is no line arrangement comprising 13 lines and with only triple points.
Cite
@article{arxiv.2403.17260,
title = {On line arrangements with odd multiplicities},
author = {Marco Golla},
journal= {arXiv preprint arXiv:2403.17260},
year = {2024}
}
Comments
3 pages. Comments are welcome!