35 citations · 129 across the 34 of their papers we have counts for
5 papers · 1 filter
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.
Manin's conjecture for a quartic del Pezzo surface with A_4 singularity
T. D. Browning, U. Derenthal
The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type A_4.
The nef cone volume of generalized Del Pezzo surfaces
Ulrich Derenthal, Michael Joyce, Zach Teitler
We compute a naturally defined measure of the size of the nef cone of a Del Pezzo surface. The resulting number appears in a conjecture of Manin on the asymptotic behavior of the n…
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…