Surjectivity of the Resultant Map: A Solution to the Inverse Bezout Problem

E. I. Shustin

doi:10.1080/00927879508825271

Surjectivity of the Resultant Map: A Solution to the Inverse Bezout Problem

E. I. Shustin^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Let K be an algebraically closed field of characteristic zero or a real closed field. We prove that over the field K every polynomial in one variable of degree mn is the resultant of two polynomials in two variables of degrees m and n.

Original language	English
Pages (from-to)	1145-1163
Number of pages	19
Journal	Communications in Algebra
Volume	23
Issue number	3
DOIs	https://doi.org/10.1080/00927879508825271
State	Published - Jan 1995

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abstract = "Let K be an algebraically closed field of characteristic zero or a real closed field. We prove that over the field K every polynomial in one variable of degree mn is the resultant of two polynomials in two variables of degrees m and n.",

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Surjectivity of the Resultant Map: A Solution to the Inverse Bezout Problem

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