35 citations · 129 across the 34 of their papers we have counts for
4 papers · 2 filters
Strong approximation and descent
Ulrich Derenthal, Dasheng Wei
We introduce descent methods to the study of strong approximation on algebraic varieties. We apply them to two classes of varieties defined by P(t)=N_{K/k}(z): firstly for quartic…
On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields
Ulrich Derenthal, Christopher Frei
We prove Manin's conjecture over imaginary quadratic number fields for a cubic surface with a singularity of type E_6.
Counting imaginary quadratic points via universal torsors, II
Ulrich Derenthal, Christopher Frei
We prove Manin's conjecture for four singular quartic del Pezzo surfaces over imaginary quadratic number fields, using the universal torsor method.
Counting imaginary quadratic points via universal torsors
Ulrich Derenthal, Christopher Frei
A conjecture of Manin predicts the distribution of rational points on Fano varieties. We provide a framework for proofs of Manin's conjecture for del Pezzo surfaces over imaginary…