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Explicit Real Cubic Surfaces

Published online by Cambridge University Press:  20 November 2018

Irene Polo-Blanco  and
Jaap Top
Irene Polo-Blanco
Affiliation:
IwI-RuG, P.O. Box 800, 9700 AV Groningen, The Netherlands e-mail: j.top@rug.nl
Jaap Top
Affiliation:
IwI-RuG, P.O. Box 800, 9700 AV Groningen, The Netherlands e-mail: j.top@rug.nl
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Abstract

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The topological classification of smooth real cubic surfaces is recalled and compared to the classification in terms of the number of real lines and of real tritangent planes, as obtained by $\text{L}$. Schläfli in 1858. Using this, explicit examples of surfaces of every possible type are given.

Keywords

14J2514J8014P2514Q10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 1 , 01 March 2008 , pp. 125 - 133
Copyright
Copyright © Canadian Mathematical Society 2008

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