35 citations · 129 across the 34 of their papers we have counts for
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math.AG2006
Universal torsors of Del Pezzo surfaces and homogeneous spaces
Ulrich Derenthal
Let Cox(S) be the homogeneous coordinate ring of the blow-up S of P^2 in r general points, i.e., a smooth Del Pezzo surface of degree 9-r. We prove that for r=6 and 7, Proj(Cox(S))…
math.AG2006★ 35 cited
Singular del Pezzo surfaces whose universal torsors are hypersurfaces
Ulrich Derenthal
We classify all generalized del Pezzo surfaces (i.e., minimal desingularizations of singular del Pezzo surfaces containing only rational double points) whose universal torsors are…
math.AG2006★ 15 cited
On the Cox ring of Del Pezzo surfaces
Ulrich Derenthal
Let S_r be the blow-up of P^2 in r general points, i.e., a smooth Del Pezzo surface of degree 9-r. For r <= 7, we determine the quadratic equations defining its Cox ring explicitly…