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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-07-11 and was most recently seen on 2026-07-11.
In mathematics, the degree of an affine or projective variety of dimension n is the number of intersection points of the variety
with n hyperplanes in general position. For an algebraic set, the intersection points must be counted with their intersection multiplicity, because of the possibility of multiple components. For (irreducible) varieties, if one takes into account the multiplicities and, in the affine case, the points at infinity, the hypothesis of general position may be replaced by the much weaker condition that the intersection of the variety has the dimension zero. This is a generalization of Bézout's theorem.
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