15 citations · 28 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
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…
The Hasse principle for lines on diagonal surfaces
Jörg Jahnel, Daniel Loughran
Given a number field and a positive integer , in this paper we consider the following question: does there exist a smooth diagonal surface of degree in ov…
The discriminant of a cubic surface
Andreas-Stephan Elsenhans, Jörg Jahnel
We construct explicit examples of cubic surfaces over such that the 27 lines are acted upon by the index two subgroup of the maximal possible Galois group. This is the simpl…