Mathematics – Algebraic Geometry
Scientific paper
2006-04-10
Mathematics
Algebraic Geometry
15 pages
Scientific paper
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)) can be embedded into G/P, where G is an algebraic
group with root system given by the primitive Picard lattice of S and P is a
certain maximal parabolic subgroup in G.
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