29 citations · 110 across the 22 of their papers we have counts for
26 papers
The 2-divisibility of divisors on K3 surfaces in characteristic 2
Toshiyuki Katsura, Shigeyuki Kondō, Matthias Schütt
We show that K3 surfaces in characteristic 2 can admit sets of disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each . More pr…
Kummer surfaces and quadratic line complexes in characteristic two
Toshiyuki Katsura, Shigeyuki Kondo
In this paper, we study the classical theory of quadratic line complexes and Kummer surfaces. A quadratic line complex is the intersection of the Grassmannian and a quadri…
Coble surfaces in characteristic two
Toshiyuki Katsura, Shigeyuki Kondo
We study Coble surfaces in characteristic 2, in particular, singularities of their canonical coverings. As an application we classify Coble surfaces with finite automorphism group…
Coble surfaces with finite automorphism group
Shigeyuki Kondo
We classify Coble surfaces with finite automorphism group in arbitrary characteristic not equal to 2. There are exactly 9 isomorphism classes of such surfaces.
Kummer surfaces associated with group schemes
Shigeyuki Kondo, Stefan Schröer
We introduce Kummer surfaces X=Km(CxC) with the group scheme G=mu_2 acting on the self-product of the rational cuspidal curve in characteristic two. The resulting quotients are nor…
Classification of Enriques surfaces covered by the supersingular K3 surface with Artin invariant 1 in characteristic 2
Shigeyuki Kondo
We classifiy Enriques surfaces covered by the supersingular K3 surface with the Artin invariant 1 in characteristic 2. There are exactly three types of such Enriques surfaces.