14 citations · 27 across the 8 of their papers we have counts for
5 papers · 2 filters
On arithmetic Zariski pairs in degree 6
Ichiro Shimada
We define a topological invariant of complex projective plane curves. As an application, we present new examples of arithmetic Zariski pairs.
Unirationality of certain supersingular surfaces in characteristic 5
Duc Tai Pho, Ichiro Shimada
We show that every supersingular K3 surface in characteristic 5 with Artin invariant less than or equal to 3 is unirational.
Singularities of dual varieties in characteristic 2
Ichiro Shimada
We investigate unibranched singularities of dual varieties of even-dimensional smooth projective varieties in characteristic 2.
Transcendental lattices and supersingular reduction lattices of a singular surface
Ichiro Shimada
A (smooth) K3 surface X defined over a field k of characteristic 0 is called singular if the Néron-Severi lattice NS (X) of X over the algebraic closure of k is of rank 20. Let X b…
On normal K3 surfaces
Ichiro Shimada
We determine all possible configurations of rational double points on complex normal algebraic K3 surfaces, and on normal supersingular K3 surfaces in characteristic p > 19.