5 citations · 9 across the 5 of their papers we have counts for
6 papers
Moduli curves of supersingular K3 surfaces in characteristic 2 with Artin invariant 2
Ichiro Shimada
We construct explicitly moduli curves of polarized supersingular K3 surfaces in characteristic 2 with Artin invariant 2. As an application, we detect a "jump" phenomenon in a famil…
Vanishing cycles, the generalized Hodge Conjecture and Gröbner bases
Ichiro Shimada
Let be a general complete intersection of a given multi-degree in a complex projective space. Suppose that the anti-canonical line bundle of is ample. Using the cylinder ho…
Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane
Ichiro Shimada
For every supersingular surface in characteristic 2, there exists a homogeneous polynomial of degree 6 such that is birational to the purely inseparable double cov…
Rational double points on supersingular K3 surfaces
Ichiro Shimada
We investigate configurations of rational double points with the total Milnor number 21 on supersingular surfaces. The complete list of possible configurations is given. As an…
Supersingular K3 surfaces in odd characteristic and sextic double planes
Ichiro Shimada
We show that every supersingular K3 surface is birational to a double cover of a projective plane.
Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
I. Shimada, D. -Q. Zhang
We present a complete list of extremal elliptic K3 surfaces. There are altogether 325 of them. The first 112 coincides with Miranda-Persson's list for semi-stable ones. The data in…