Ruled quartic surfaces, models and classification

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dc.creatorPolo-Blanco, Irene
dc.creatorvan der Put, Marius
dc.creatorTop, Jaap
dc.date2009-04-15
dc.date.accessioned2026-07-07T13:04:16Z
dc.date.available2026-07-07T13:04:16Z
dc.descriptionNew historical aspects of the classification, by Cayley and Cremona, of ruled quartic surfaces and the relation to string models and plaster models are presented. In a `modern' treatment of the classification of ruled quartic surfaces the classical one is corrected and completed. A conceptual proof is presented of a result of Rohn concerning curves in $\mathbb{P}^1\times \mathbb{P}^1$ of bi-degree $(2,2)$. The string models of Series XIII (of some ruled quartic surfaces) are based on Rohn's result.
dc.description35 pages, including 3 figures
dc.identifierhttps://arxiv.org/abs/0904.2374
dc.identifierhttp://arxiv.org/abs/0904.2374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227103
dc.subjectAlgebraic Geometry
dc.subjectHistory and Overview
dc.subject14-03; 14J26; 01A55
dc.titleRuled quartic surfaces, models and classification
dc.typetext

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