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A Chain Rule for Multivariable Resultants

A Chain Rule for Multivariable Resultants

We present a chain rule for the multivariable resultant, which is similar to the familiar chain rule for the Jacobian matrix.Specifically, given two homogeneous polynomial maps K" -» K" for a commutative ring K, such that their composition is a homogeneous polynomial map, the resultant of the composition is the …