Pencils of Conic-Line Curves

2024/12/09 by Suluyer, Hasan
#14H50 #14N20 #55R55 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.06928

Abstract

In this paper, we study the restrictions on the number m of conic-line curves in special pencils. The most general result we obtain is the relation between upper bounds on m and the number p 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.

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