26 citations · 154 across the 34 of their papers we have counts for
5 papers · 1 filter
Enriques Surfaces and jacobian elliptic K3 surfaces
Klaus Hulek, Matthias Schuett
This paper proposes a new geometric construction of Enriques surfaces. Its starting point are K3 surfaces with jacobian elliptic fibration which arise from rational elliptic surfac…
Non-liftable Calabi-Yau spaces
Slawomir Cynk, Matthias Schuett
We construct many new non-liftable three-dimensional Calabi-Yau spaces in positive characteristic. The technique relies on lifting a nodal model to a smooth rigid Calabi-Yau space…
Elliptic Surfaces
Matthias Schuett, Tetsuji Shioda
This survey paper concerns elliptic surfaces with section. We give a detailed overview of the theory including many examples. Emphasis is placed on rational elliptic surfaces and e…
Lifts of projective congruence groups
Ian Kiming, Matthias Schuett, Helena Verrill
We show that noncongruence subgroups of SL_2(Z) projectively equivalent to congruence subgroups are ubiquitous. More precisely, they always exist if the congruence subgroup in ques…
The modularity of K3 surfaces with non-symplectic group actions
Ron Livné, Matthias Schuett, Noriko Yui
We consider complex K3 surfaces with a non-symplectic group acting trivially on the algebraic cycles. Vorontsov and Kondo classified those K3 surfaces with transcendental lattice o…