Zariski pairs on cubic surfaces

2024/01/29 by Shimada, Ichiro · 1 citation
#14J26 #14N20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.15930

Abstract

A line arrangement of a smooth cubic surface is a subset of the set of lines on the cubic surface. We define a notion of Zariski pairs of line arrangements on general cubic surfaces, and make the complete list of these Zariski pairs.

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• Del Pezzo surfaces of degree one and examples of Zariski multiples

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