26 citations · 102 across the 28 of their papers we have counts for
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On the order three Brauer classes for cubic surfaces
Andreas-Stephan Elsenhans, Jörg Jahnel
We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over such that $\Br(S)/\Br(\bbQ)$ is a 3-group. Our approach is to associate a Brauer…
Kummer surfaces and the computation of the Picard group
Andreas-Stephan Elsenhans, Jörg Jahnel
We test R. van Luijk's method for computing the Picard group of a surface. The examples considered are the resolutions of Kummer quartics in $\bP^3$. Using the theory of abeli…
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…
On the characteristic polynomial of the Frobenius on étale cohomology
Andreas-Stephan Elsenhans, Jörg Jahnel
Let be a smooth proper variety of even dimension over a finite field. We establish a restriction on the value at of the characteristic polynomial of the Frobenius on…
On the quasi group of a cubic surface over a finite field
Andreas-Stephan Elsenhans, Jörg Jahnel
We construct nontrivial homomorphisms from the quasi group of some cubic surfaces over $\bbF_{\!p}$ into a group. We show experimentally that the homomorphisms constructed are the…