35 citations · 129 across the 34 of their papers we have counts for
4 papers · 1 filter
Equivariant compactifications of two-dimensional algebraic groups
Ulrich Derenthal, Daniel Loughran
We classify generically transitive actions of semidirect products of an additive and a multiplicative group on the projective plane. Motivated by the program to study the distribut…
Quadratic congruences on average and rational points on cubic surfaces
Stephan Baier, Ulrich Derenthal
We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A_…
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…
Universal torsors and values of quadratic polynomials represented by norms
Ulrich Derenthal, Arne Smeets, Dasheng Wei
Let be an extension of number fields, and let be a quadratic polynomial over . Let be the affine variety defined by . We study the H…