Normal del Pezzo surfaces containing a nonrational singularity

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dc.creatorSchroeer, Stefan
dc.date2000-01-22
dc.date2001-05-07
dc.date.accessioned2026-07-07T04:33:23Z
dc.date.available2026-07-07T04:33:23Z
dc.descriptionWorking over a perfect field, I classify normal del Pezzo surfaces with base number one that contain a nonrational singularity. They form a huge infinite hierarchy; contractions of ruled surfaces lie on top of it. Descending the hierarchy hinges on a generalized version of elementary transformations. As an application, I determine the structure of 2-dimensional anticanonical models for arbitrary normal surfaces.
dc.descriptionMinor changes, 17 pages, to appear in Manuscr. Math
dc.identifierhttps://arxiv.org/abs/math/0001118
dc.identifierhttp://arxiv.org/abs/math/0001118
dc.identifierManuscr. Math. 104 (2001), 257-274.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58556
dc.subjectAlgebraic Geometry
dc.subject14J17, 14J20, 14J25, 14J26
dc.titleNormal del Pezzo surfaces containing a nonrational singularity
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