6533b830fe1ef96bd12978fc
RESEARCH PRODUCT
Illustrating the classification of real cubic surfaces
Stephan HolzerOliver Labssubject
Pure mathematicsmedia_common.quotation_subjectTangent coneAlgebraic surfaceGravitational singularityAffine transformationSingular point of a curveType (model theory)Infinitymedia_commonImage (mathematics)Mathematicsdescription
Knorrer and Miller classified the real projective cubic surfaces in P(R) with respect to their topological type. For each of their 45 types containing only rational double points we give an affine equation, s.t. none of the singularities and none of the lines are at infinity. These equations were found using classical methods together with our new visualization tool surfex. This tool also enables us to give one image for each of the topological types showing all the singularities and lines.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-01 |