10 citations · 20 across the 5 of their papers we have counts for
5 papers
Manin's conjecture for a cubic surface with D_5 singularity
T. D. Browning, U. Derenthal
The Manin conjecture is established for a split singular cubic surface in P^3, with singularity type D_5.
Looking for rational curves on cubic hypersurfaces
János Kollár, Ulrich Derenthal
These are the substantially expanded notes of the lectures of JK at the summer school "Higher-Dimensional Geometry over Finite Fields" in Göttingen, June 2007. The first part gives…
Manin's conjecture for a quintic del Pezzo surface with A_2 singularity
Ulrich Derenthal
Manin's conjecture is proved for a split del Pezzo surface of degree 5 with a singularity of type A_2.
On a constant arising in Manin's conjecture for Del Pezzo surfaces
Ulrich Derenthal
For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of alpha, appearing in the leading constant as predi…
Manin's conjecture for a certain singular cubic surface
Ulrich Derenthal
We prove Manin's conjecture for a singular cubic surface S with a singularity of type E6. If U is the open subset of S obtained by deleting the unique line from S, then the number…