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math.AG2024
Zariski pairs on cubic surfaces
Ichiro Shimada
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 surface…
math.AG2024
Topology of a complex double plane branching along a real line arrangement
Ichiro Shimada
We investigate the topology of a double cover of a complex affine plane branching along a nodal real line arrangement. We define certain topological 2-cycles in the double plane us…