Universal Torsors of Del Pezzo Surfaces and Homogeneous Spaces
نویسنده
چکیده
Let Cox(Sr) be the homogeneous coordinate ring of the blow-up Sr of P 2 in r general points, i.e., a smooth Del Pezzo surface of degree 9 − r. We prove that for r ∈ {6, 7}, Proj(Cox(Sr)) can be embedded into Gr/Pr, where Gr is an algebraic group with root system given by the primitive Picard lattice of Sr and Pr ⊂ Gr is a certain maximal parabolic subgroup.
منابع مشابه
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