English

$\mathcal{Q}$-conic arrangements in the complex projective plane

Algebraic Geometry 2023-04-24 v2 Combinatorics

Abstract

We study the geometry of Q\mathcal{Q}-conic arrangements in the complex projective plane. These are arrangements consisting of smooth conics and they admit certain quasi-homogeneous singularities. We show that such Q\mathcal{Q}-conic arrangements are never free. Moreover, we provide combinatorial constraints of the weak combinatorics of such arrangements.

Keywords

Cite

@article{arxiv.2203.11503,
  title  = {$\mathcal{Q}$-conic arrangements in the complex projective plane},
  author = {Piotr Pokora},
  journal= {arXiv preprint arXiv:2203.11503},
  year   = {2023}
}

Comments

Version 2.0, 9 pages

R2 v1 2026-06-24T10:21:33.816Z