4 papers
Negative Sasakian structures on simply-connected 5-manifolds
V. Muñoz, M. Schütt, A. Tralle
We study several questions on the existence of negative Sasakian structures on simply connected rational homology spheres and on Smale-Barden manifolds of the form $\#_k(S^2\times…
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…
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…
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…