26 citations · 154 across the 34 of their papers we have counts for
38 papers
Non-projective K3 surfaces with real or Salem multiplication
Eva Bayer-Fluckiger, Bert van Geemen, Matthias Schütt
We determine the Hodge endomorphism algebras of non-projective complex K3 surfaces (and more generally, hyperkähler manifolds). We show that they are either totally real fields or…
On the cohomologically trivial automorphisms of elliptic surfaces I:
Fabrizio Catanese, Davide Frapporti, Christian Gleissner +2
In this first part we describe the group of cohomologically trivial automorphisms of a properly elliptic surface (a minimal surface with Kodaira dimension…
Low degree rational curves on quasi-polarized K3 surfaces
Sławomir Rams, Matthias Schütt
We prove that there are at most low-degree rational curves on high-degree models of K3 surfaces with at most Du Val singularities, where is the number of exception…
K3 surfaces with real or complex multiplication
Eva Bayer-Fluckiger, Bert van Geemen, Matthias Schütt
Let be a totally real number field of degree and let be an integer. We show that if then there exists an -dimensional family of com…
On families of K3 surfaces with real multiplication
Bert van Geemen, Matthias Schütt
We exhibit large families of K3 surfaces with real multiplication, both abstractly using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as expl…
Normal forms for quasi-elliptic Enriques surfaces and applications
Toshiyuki Katsura, Matthias Schütt
We work out normal forms for quasi-elliptic Enriques surfaces and give several applications. These include torsors and numerically trivial automorphisms, but our main application i…