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Remark on Irreducible Factorizations of Polynomials in Several Variables*
Published online by Cambridge University Press: 20 November 2018
Abstract
It is proved that a polynomial on several complex variables, whose coefficients depend analytically on a parameter ε, admits a factorization which is irreducible for every value of the parameter, with the possible exception of an analytic set of points. Moreover, the coefficients of the irreducible factors can be chosen to depend analytically on ε in a neighborhood of every point not belonging to this analytic set.
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- Research Article
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- Copyright © Canadian Mathematical Society 1981
Footnotes
Partially supported by NSERC.