Universal torsors of Del Pezzo surfaces and homogeneous spaces

• Autores: Ulrich Derenthal
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 213, Nº 2, 2007, págs. 849-864
• Idioma: inglés
• DOI: 10.1016/j.aim.2007.01.012
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• Resumen

  • Let Cox(Sr) be the homogeneous coordinate ring of the blow-up Sr of 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.