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A surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero. This is analogous to a curve generalizing a straight line

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A cubic and six conics problem

Recall the quartic version of the Cayley-Bacharach theorem: Theorem: Consider two quartics in general position, which intersect in $16$ points (by Bezout's theorem). Then if a third quartic passes th …
Adam P. Goucher's user avatar