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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★ 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…