15 citations · 28 across the 10 of their papers we have counts for
9 papers · 1 filter
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.
On the Brauer-Manin obstruction for degree four del Pezzo surfaces
Jörg Jahnel, Damaris Schindler
We show that, for every integer and every finite set of places, there exists a degree del Pezzo surface over such that ${\rm Br}(X)/{\rm…
On the factor alpha in Peyre's constant
Ulrich Derenthal, Andreas-Stephan Elsenhans, Jörg Jahnel
For an arbitrary del Pezzo surface S, we compute alpha(S), which is the volume of a certain polytope in the dual of the effective cone of S, using Magma and Polymake. The constant…
On cubic surfaces with a rational line
Andreas-Stephan Elsenhans, Jörg Jahnel
We report on our project to construct non-singular cubic surfaces over with a rational line. Our method is to start with degree 4 Del Pezzo surfaces in diagonal form. For th…