Galois covering singularities. II (Q1976572)

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scientific article; zbMATH DE number 1445736
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Galois covering singularities. II
scientific article; zbMATH DE number 1445736

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    Galois covering singularities. II (English)
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    18 April 2001
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    Let \(Y\) be a simply connected open neighbourhood of \(0\in \mathbb{C}^n\) and \(\pi:X\to Y\) be a finite Galois covering. Let \(B_\pi= \sum^\ell_{v= 1} r_vB_v\), \(B_1,\dots,B_\ell\) be the irreducible components of the branch locus of \(\pi\) and \(r_1,\dots,r_\ell\) the corresponding ramification indices of \(\pi\) along \(B_j\). Galois coverings \(\pi:X\to Y\) are studied such that \(B_\pi=D\) for a given divisor \(D\) on \(Y\) and \(\text{Gal} (X\mid Y)= \{g\in \Aut (X) \mid\pi \circ g=\pi\}\). [For part I of the paper see the author, J. Math. Soc. Japan 51, 35-44 (1999; Zbl 0933.32040)].
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    ramification
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    Galois coverings
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