Geodesic
Irreducible separable polynomials with holomorphic coefficients on a certain class of complex spaces
Sbornik. Mathematics, Tome 31 (1977) no. 4, pp. 507-526 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we study conditions for the reducibility of polynomials with holomorphic coefficients and locally simple roots. Results are obtained which sharpen the theorems of Gorin and Lin on the reducibility of such polynomials under certain restrictions on the index of the discriminant and the domain in which the coefficients are defined; the role of the arithmetical properties of the degree of the polynomial is clarified. Bibliography: 5 titles. 
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     title = {Irreducible separable polynomials with holomorphic coefficients on a~certain class of complex spaces},
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Yu. V. Zyuzin. Irreducible separable polynomials with holomorphic coefficients on a certain class of complex spaces. Sbornik. Mathematics, Tome 31 (1977) no. 4, pp. 507-526. http://geodesic.mathdoc.fr/item/SM_1977_31_4_a5/

[1] E. A. Gorin, V. Ya. Lin, “Algebraicheskie uravneniya s nepreryvnymi koeffitsientami i nekotorye voprosy algebraicheskoi teorii kos”, Matem. sb., 78(120) (1969), 579–610 | MR | Zbl

[2] E. A. Gorin, V. Ya. Lin, “O separabelnykh polinomakh nad kommutativnymi banakhovymi algebrami”, DAN SSSR, 218:3 (1974), 505–508 | MR | Zbl

[3] V. Ya. Lin, “Algebroidnye funktsii i golomorfnye elementy gomotopicheskikh grupp kompleksnogo mnogoobraziya”, DAN SSSR, 201:1 (1971), 28–31 | MR | Zbl

[4] Yu. V. Zyuzin, V. Ya. Lin, “Nerazvetvlennye algebraicheskie rasshireniya kommutativnykh banakhovykh algebr”, Matem. sb., 91 (133) (1973), 402–420 | MR

[5] P. Deligne, “Les immeubles des groups de tresses généralisés”, Inv. math., 17:4 (1972), 273–302 | DOI | MR | Zbl