4 papers · 1 filter
Del Pezzo surfaces of degree one and examples of Zariski multiples
Ichiro Shimada
We construct examples of Zariski N-tuples with large N using the monodromy action of the Weyl group of type E8 on the set of 240 lines in a del Pezzo surface of degree one.
The automorphism group of an Apéry-Fermi K3 surface
Ichiro Shimada
An Apéry-Fermi K3 surface is a complex K3 surface of Picard number 19 that is birational to a general member of a certain one-dimensional family of affine surfaces related to the F…
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…
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…