Conic-line arrangements in the complex projective plane
Algebraic Geometry
2022-04-13 v3 Combinatorics
Abstract
The main goal of this note is to begin a systematic study on conic-line arrangements in the complex projective plane. We show a de Bruijn-Erd\H{o}s-type inequality and Hirzebruch-type inequality for a certain class of conic-line arrangements having ordinary singularities. We will also study, in detail, certain conic-line arrangements in the context of the geography of log-surfaces and free divisors in the sense of Saito.
Cite
@article{arxiv.2002.01760,
title = {Conic-line arrangements in the complex projective plane},
author = {Piotr Pokora and Tomasz Szemberg},
journal= {arXiv preprint arXiv:2002.01760},
year = {2022}
}
Comments
17 pages, 2 figures. Version 3.0, this is the version incorporating referee's remarks