Intersection theory | Algebraic geometry

Steiner's conic problem

In enumerative geometry, Steiner's conic problem is the problem of finding the number of smooth conics tangent to five given conics in the plane in general position. If the problem is considered in the complex projective plane CP2, the correct solution is 3264. The problem is named after Jakob Steiner who first posed it and who gave an incorrect solution in 1848. (Wikipedia).

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From playlist Geometry: Challenge Problems

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Related pages

Bézout's theorem | General position | Ernest de Jonquières | Veronese surface | Enumerative geometry | Conic section | Complex projective space | Complex projective plane | Jakob Steiner | Blowing up