Actually,complete intersection signifies the minimum equation which is to describe the algebraic variety.
完全交就是指描述代数簇的最少方程数。
参考来源 - 对单项式曲线完全交的研究
完全交叉
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Complete intersection
abstract:In mathematics, an algebraic variety V in projective space is a complete intersection if it can be defined by the simultaneous vanishing of a number of homogeneous polynomials equal to its codimension. That is, if V has dimension m and lies in projective space Pn, there should exist n − m homogeneous polynomials