A chain rule for multivariable resultants
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- by Charles Ching-an Cheng, James H. McKay and Stuart Sui Sheng Wang PDF
- Proc. Amer. Math. Soc. 123 (1995), 1037-1047 Request permission
Abstract:
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 ${K^n} \to {K^n}$ for a commutative ring K, such that their composition is a homogeneous polynomial map, the resultant of the composition is the product of appropriate powers of resultants of the individual maps.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1037-1047
- MSC: Primary 12D10; Secondary 13B25
- DOI: https://doi.org/10.1090/S0002-9939-1995-1227515-9
- MathSciNet review: 1227515