On Yoshinaga's arrangement of lines and the containment problem

2019/11/27 by Tombarkiewicz, Maria, Zięba, Maciej
#13F20 #14N10 #32S22 #52C35 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.12057

Abstract

The main purpose of the note is to show that Yoshinaga's arrangement of 18 lines having 48 triple and 9 double intersection points leads to a new (short) series of non-containment examples for I⁽³⁾ ⊂ I², the question studied by Harbourne and Huneke.

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