Pencils of Conic-Line Curves
Algebraic Geometry
2026-05-25 v2 Combinatorics
Abstract
In this paper, we study the restrictions on the number of conic-line curves in special pencils. The most general result we obtain is the relation between upper bounds on and the number of concurrent lines in these pencils. We construct a one-parameter family of pencils such that each pencil in the family contains exactly 4 conic-line curves. We also deal with pencils whose conic-line curves are in general position.
Cite
@article{arxiv.2412.06928,
title = {Pencils of Conic-Line Curves},
author = {Hasan Suluyer},
journal= {arXiv preprint arXiv:2412.06928},
year = {2026}
}
Comments
13 pages, 1 figure