15 citations · 28 across the 10 of their papers we have counts for
13 papers
2-adic point counting on surfaces
Andreas-Stephan Elsenhans, Jörg Jahnel
This article reports on an approach to point counting on algebraic varieties over finite fields that is based on a detailed investigation of the -adic orthogonal group. Combinin…
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 frequency of algebraic Brauer classes on certain log K3 surfaces
Jörg Jahnel, Damaris Schindler
Given systems of two (inhomogeneous) quadratic equations in four variables, it is known that the Hasse principle for integral points may fail. Sometimes this failure can be explain…
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…