Universal torsors of Del Pezzo surfaces and homogeneous spaces

dc.creatorDerenthal, Ulrich
dc.date2006-04-10
dc.date2007-02-07
dc.date.accessioned2026-07-07T07:45:03Z
dc.date.available2026-07-07T07:45:03Z
dc.descriptionLet 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0604195
dc.identifierhttp://arxiv.org/abs/math/0604195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123410
dc.subjectAlgebraic Geometry
dc.subject14J26 (Primary) 14M15, 14C20 (Secondary)
dc.titleUniversal torsors of Del Pezzo surfaces and homogeneous spaces
dc.typetext

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