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math.AG2020
12 rational curves on Enriques surfaces
Sławomir Rams, Matthias Schütt
Given d in IN, we prove that any polarized Enriques surface (over any field of characteristic different from 2 or with a smooth K3 cover) of degree greater than 12d^2 contains at m…
math.AG2019
K3 surfaces with 9 cusps in characteristic p
Toshiyuki Katsura, Matthias Schütt
We study K3 surfaces with 9 cusps, i.e. 9 disjoint configurations of smooth rational curves, over algebraically closed fields of characteristic . Much like in the co…
math.AG2017
Zariski K3 surfaces
Toshiyuki Katsura, Matthias Schütt
We construct Zariski K3 surfaces of Artin invariant 1, 2 and 3 in many characteristics. In particular, we prove that any supersingular Kummer surface is Zariski if the characterist…