Ruled quartic surfaces,models and classification |
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Authors: | Irene Polo-Blanco Marius van der Put Jaap Top |
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Affiliation: | 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}^1times mathbb{P}^1} of bi-degree (2, 2). This is given here a conceptional proof. |
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