4 citations · 21 across the 19 of their papers we have counts for
19 papers
Divisibilities among nodal curves
Matthias Schuett
We prove that there are no effective or anti-effective classes of square -1 or -2 arising from nodal curves on smooth algebraic surfaces by way of divisibility. This general fact h…
Abelian Fourfolds of Weil type and certain K3 Double Planes
Giuseppe Lombardo, Chris Peters, Matthias Schuett
Double planes branched in 6 lines give a famous example of K3 surfaces. Their moduli are well understood and related to abelian fourfolds of Weil type. We compare these two moduli…
K3 surfaces with an automorphism of order 11
Matthias Schuett
This paper concerns K3 surfaces with automorphisms of order 11 in arbitrary characteristic. Specifically we study the wild case and prove that a general such surface in characteris…
A note on the supersingular K3 surface of Artin invariant 1
Matthias Schuett
We prove that the supersingular K3 surface of Artin invariant 1 in characteristic p (where p denotes an arbitrary prime) admits a model over IF_p with Picard number 21.
Two moduli spaces of abelian fourfolds with an automorphism of order five
Bert van Geemen, Matthias Schuett
We find explicit projective models of a compact Shimura curve and of a (non-compact) surface which are the moduli spaces of principally polarised abelian fourfolds with an automorp…
Lines on Fermat surfaces
Matthias Schuett, Tetsuji Shioda, Ronald van Luijk
We prove that the Neron-Severi groups of several complex Fermat surfaces are generated by lines. Specifically, we obtain these new results for all degrees up to 100 that are relati…