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Explicit real cubic surfaces. (English) Zbl 1132.14333

Summary: 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 L. Schläfli [Q. J. Pure Appl. Math. 2, 110–120 (1858)]. Using this, explicit examples of surfaces of every possible type are given.

MSC:

14P25 Topology of real algebraic varieties
14J25 Special surfaces
14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
14Q10 Computational aspects of algebraic surfaces
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