Pencils of Conic-Line Curves
arXiv:2412.06928 · doi:10.1007/s00009-026-03125-z
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.
13 pages, 1 figure