Geodesic
Remark on Irreducible Factorizations of Polynomials in Several Variables*
Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 493-496

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1981-075-2
Mots-clés : 30A06, 32A05. 
Rodman, Leiba. Remark on Irreducible Factorizations of Polynomials in Several Variables*. Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 493-496. doi: 10.4153/CMB-1981-075-2
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[1] 1. Shafarevich, I. R., Basic Algebraic Geometry, Springer-Verlag, New York-Heidelberg-Berlin, 1974. Google Scholar

[2] 2. Gunning, R. C. and Rossi, H., Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N.J., 1965. Google Scholar

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