7 citations · 7 across the 4 of their papers we have counts for
6 papers
New curves with many points over small finite fields
Karl Rökaeus
We use class field theory to search for curves with many rational points over small finite fields. By going through abelian covers of curves of small genus we find a number of new…
Computer search for curves with many points among abelian covers of genus 2 curves
Karl Rökaeus
Using class field theory one associates to each curve C over a finite field, and each subgroup G of its divisor class group, unramified abelian covers of C whose genus is determine…
Computing p-adic integrals using motivic integration
Karl Rökaeus
We use the theory of motivic integration in order to give a geometric explanation of the behavior of some p-adic integrals.
A version of geometric motivic integration that specializes to p-adic integration via point counting
Karl Rökaeus
We give a version of geometric motivic integration that specializes to p-adic integration via point counting. This has been done before for stable sets; we extend this to more gene…
A note on the lambda-structure on the Burnside ring
Karl Rökaeus
Let G be a finite group and let S be a G-set. The Burnside ring of G has a natural structure of a lambda-ring. However, a priori the images of S under the lambda-operations can onl…
The computation of the classes of some tori in the Grothendieck ring of varieties
Karl Rökaeus
We establish a formula for the classes of certain tori in the Grothendieck ring of varieties, in terms of its lambda-structure. More explicitly, we will see that if L* is the torus…