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Cayley–Bacharach theorem

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Cayley–Bacharach theorem

statement about cubic curves in the projective plane

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About Cayley–Bacharach theorem

In mathematics, the Cayley–Bacharach theorem is a statement about cubic curves in the projective plane P2. The original form states:Assume that two cubics C1 and C2 in the projective plane meet in nine (different) points, as they do in general over an algebraically closed field. Then every cubic that passes through any eight of the points also passes through the ninth point.

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