The Cox Ring of a Del Pezzo Surface Has Rational Singularities

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dc.creatorPopov, Oleg N.
dc.date2004-02-10
dc.date.accessioned2026-07-07T05:05:18Z
dc.date.available2026-07-07T05:05:18Z
dc.descriptionFor a smooth Del Pezzo surface the direct sum of global sections of all isomorphism classes of invertible sheaves on it can be almost canonically endowed with a ring structure, called the Cox ring. We show that in characteristic 0 this ring is Gorenstein and its spectrum has rational singularities. Also a gap in math.AG/0309111 is pointed out.
dc.description12 pages, LateX, uses XY-Pic
dc.identifierhttps://arxiv.org/abs/math/0402154
dc.identifierhttp://arxiv.org/abs/math/0402154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70117
dc.subjectAlgebraic Geometry
dc.subject14J26; 14J17
dc.titleThe Cox Ring of a Del Pezzo Surface Has Rational Singularities
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