Geodesic
On the Monodromy of a Multivalued Function Along Its Ramification Locus
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 65-74

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We consider multivalued analytic functions in $\mathbb{C}^n$ whose set of singular points occupies a very small part of $\mathbb{C}^n$. Under a mapping of a topological space $Y$ into $\mathbb{C}^n$, such a function $f$ can induce a multivalued function on $Y$. This is possible even if the image of $Y$ entirely lies in the ramification set of $f$. We estimate the monodromy group of the induced function via the monodromy group of $f$.
Keywords: multivalued function, Galois theory.
Mots-clés : monodromy group 
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     title = {On the {Monodromy} of a {Multivalued} {Function} {Along} {Its} {Ramification} {Locus}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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A. G. Khovanskii. On the Monodromy of a Multivalued Function Along Its Ramification Locus. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 65-74. http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a6/