26 citations · 102 across the 28 of their papers we have counts for
22 papers · 1 filter
On the component group of the algebraic monodromy group of a surface
Andreas-Stephan Elsenhans, Jörg Jahnel
We provide a lower bound for the number of components of the algebraic monodromy group in the situation of a surface over a number field . In the CM case, our bound is shar…
Frobenius trace distributions for K3 surfaces
Andreas-Stephan Elsenhans, Jörg Jahnel
We study the distribution of the Frobenius traces on surfaces. We compare experimental data with the predictions made by the Sato--Tate conjecture, i.e. with the theoretical d…
Explicit families of surfaces having real multiplication
Andreas-Stephan Elsenhans, Jörg Jahnel
For families of surfaces, we establish a sufficient criterion for real or complex multiplication. Our criterion is arithmetic in nature. It may show, at first, that the generi…
Computing invariants of cubic surfaces
Andreas-Stephan Elsenhans, Jörg Jahnel
We report on the computation of invariants, covariants, and contravariants of cubic surfaces. All algorithms are implemented in the computer algebra system magma.
Real and complex multiplication on K3 surfaces via period integration
Andreas-Stephan Elsenhans, Jörg Jahnel
We report on a new approach, as well as some related experiments, to construct families of K3 surfaces having real or complex multiplication. The approach is based on an explicit d…
On plane quartics with a Galois invariant Cayley octad
Andreas-Stephan Elsenhans, Jörg Jahnel
We describe a construction of plane quartics with prescribed Galois operation on the 28 bitangents, in the particular case of a Galois invariant Cayley octad. As an application, we…