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Explicit Real Cubic Surfaces

  Published:2008-03-01
 Printed: Mar 2008
  • Irene Polo-Blanco
  • Jaap Top
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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, 14J80, 14P25, 14Q10 show english descriptions Special surfaces {For Hilbert modular surfaces, see 14G35}
Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
Topology of real algebraic varieties
Surfaces, hypersurfaces
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
 

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