caa a22 4500 44588438X CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10711-010-9500-0 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9500-0 Ruled quartic surfaces, models and classification [Elektronische Daten] [Irene Polo-Blanco, Marius van der Put, Jaap Top] 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 $${\mathbb{P}^1\times \mathbb{P}^1}$$ of bi-degree (2, 2). This is given here a conceptional proof. The Author(s), 2010 Ruled surface nationallicence Quartic suface nationallicence Grassmann variety nationallicence Dual surface nationallicence Reciprocal surface nationallicence Polo-Blanco Irene Department Matesco, University of Cantabria, Avda de los Castros s/n, 39005, Santader, Spain aut van der Put Marius Department of Mathematics, University of Groningen, P.O. Box 407, 9700 AK, Groningen, The Netherlands aut Top Jaap Department of Mathematics, University of Groningen, P.O. Box 407, 9700 AK, Groningen, The Netherlands aut Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 151-180 0046-5755 150:1<151 2011 150 10711 https://doi.org/10.1007/s10711-010-9500-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9500-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Polo-Blanco Irene Department Matesco, University of Cantabria, Avda de los Castros s/n, 39005, Santader, Spain aut NATIONALLICENCE 700 1- van der Put Marius Department of Mathematics, University of Groningen, P.O. Box 407, 9700 AK, Groningen, The Netherlands aut NATIONALLICENCE 700 1- Top Jaap Department of Mathematics, University of Groningen, P.O. Box 407, 9700 AK, Groningen, The Netherlands aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 151-180 0046-5755 150:1<151 2011 150 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer