Ruled quartic surfaces,models and classification |
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Authors: | Irene Polo-Blanco Marius van der Put Jaap Top |
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Institution: | 1.Department Matesco,University of Cantabria,Santader,Spain;2.Department of Mathematics,University of Groningen,Groningen,The Netherlands |
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Abstract: | New 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. The string models of Series XIII of some ruled quartic surfaces (manufactured by L. Brill
and by M. Schilling) are based on a result of Rohn concerning curves in
\mathbbP1×\mathbbP1{\mathbb{P}^1\times \mathbb{P}^1} of bi-degree (2, 2). This is given here a conceptional proof. |
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