Nonnormal del Pezzo surfaces

dc.creatorReid, Miles
dc.date1994-04-05
dc.date.accessioned2026-07-07T09:06:03Z
dc.date.available2026-07-07T09:06:03Z
dc.descriptionThis paper studies reduced, connected, Gorenstein surfaces with ample -K, assumed to be reducible or nonnormal. The normalisation is a union of one or more standard surfaces (scrolls and Veronese surfaces), marked with a conic as double locus. The question is how to glue these together to get a Gorenstein scheme. In characteristic 0, the results amount to a classification of projective surfaces in the style of the 1880s. However, the methods involve a study of the dualising sheaf of a nonnormal variety in terms of Rosenlicht differentials, and there is a subtle pathology in characteristic p due to Mori and S. Goto.
dc.descriptionamsTeX 2.1 (amsppt format), submitted to Math Proceedings, RIMS
dc.identifierhttps://arxiv.org/abs/alg-geom/9404002
dc.identifierhttp://arxiv.org/abs/alg-geom/9404002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149882
dc.subjectAlgebraic Geometry
dc.titleNonnormal del Pezzo surfaces
dc.typetext

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