ConceptBézout's theorem / 贝祖定理

Bézout's Theorem

A fundamental theorem in algebraic geometry describing the relationship between the number of intersection points of algebraic varieties in projective space and the degrees of the varieties. For a complete intersection it yields the conclusion that the total degree equals the product of the degrees of the polynomials.

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Oct 12

For an algebraic complete intersection whose polynomials have degrees d_i, its total degree is given by Bezout's theorem as the product of the d_i.

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For an algebraic complete intersection whose polynomials have degrees d_i, its total degree is given by Bezout's theorem as the product of the d_i.

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Source Articles

Statistical Testing of Algebraic Complete Intersections: From the Manifold Hypothesis to Computable AlgorithmsOct 12