26 citations · 154 across the 34 of their papers we have counts for
4 papers · 2 filters
64 lines on smooth quartic surfaces
Slawomir Rams, Matthias Schuett
Let k be a field of characteristic other than 2,3. We prove that there are no geometrically smooth quartic surfaces in IP^3 with more than 64 lines. As a key step, we derive the sh…
Genus 1 fibrations on the supersingular K3 surface in characteristic 2 with Artin invariant 1
Noam D. Elkies, Matthias Schuett
The supersingular K3 surface X in characteristic 2 with Artin invariant 1 admits several genus 1 fibrations (elliptic and quasi-elliptic). We use a bijection between fibrations and…
Two lectures on the arithmetic of K3 surfaces
Matthias Schuett
In these lecture notes we review different aspects of the arithmetic of K3 surfaces. Topics include rational points, Picard number and Tate conjecture, zeta functions and modularit…
Modularity of Maschke's octic and Calabi-Yau threefold
Matthias Schuett
We prove the modularity of Maschke's octic and two Calabi-Yau threefolds derived from it as double octic and quotient thereof by the Heisenberg group, as conjectured by Bini and va…