Cayley-Bacharach Theorem

Let be Cubic plane curves meeting in nine points , ..., . If is any Cubic containing , ..., , then contains as well. It is related to Gorenstein Rings, and is a generalization of Pappus's Hexagon Theoremand Pascal's Theorem.

References

Eisenbud, D.; Green, M.; and Harris, J. ``Cayley-Bacharach Theorems and Conjectures.'' Bull. Amer. Math. Soc. 33, 295-324, 1996.

• Knot Exterior
• Knot Linking
• Knot Polynomial
• Knot Problem
• Knot Shadow
• Knot Sum
• Knot Theory
• Knot Vector
• Knödel Numbers
• Kochansky's Approximation
• Koch Antisnowflake
• Koch Island
• Koch Snowflake
• Koebe Function
• Koebe's Constant
• Kollros' Theorem
• Kolmogorov-Arnold-Moser Theorem
• Kolmogorov Complexity
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• Korselt's Criterion
• Kovalevskaya Exponent
• Kozyrev-Grinberg Theory