English

On plus-one generated conic-line arrangements with simple singularities

Algebraic Geometry 2025-07-11 v3 Combinatorics

Abstract

In this paper we study plus-one generated arrangements of conics and lines in the complex projective plane with simple singularities. We provide several degree-wise classification results that allow us to construct explicit examples of such arrangements.

Keywords

Cite

@article{arxiv.2309.15228,
  title  = {On plus-one generated conic-line arrangements with simple singularities},
  author = {Anca Măcinic and Piotr Pokora},
  journal= {arXiv preprint arXiv:2309.15228},
  year   = {2025}
}

Comments

14 pages, this version contains a new result Proposition 3.5. Accepted for publication in Rendiconti Lincei Matematica e Applicazioni

R2 v1 2026-06-28T12:33:09.195Z