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Explicit Real Cubic Surfaces |
Canad. Math. Bull. 51(2008), 125-133
Published:2008-03-01
Printed: Mar 2008
Printed: Mar 2008
- Irene Polo-Blanco
- Jaap Top
Abstract
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.~Schl\"afli in 1858.
Using this, explicit examples of
surfaces of every possible type are given.
| MSC Classifications: |
14J25 - Special surfaces {For Hilbert modular surfaces, see 14G35} 14J80 - Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) 14P25 - Topology of real algebraic varieties 14Q10 - Surfaces, hypersurfaces |