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Published in:
2015 | OriginalPaper | Chapter
Abelian Galois Covers
Author : Valery Alexeev
Published in: Moduli of Weighted Hyperplane Arrangements
Publisher: Springer Basel
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Let
$$ \pi :\,X \to Y $$
be a cyclic Galois cover of two varieties for the group
$$ G = \mu_n $$
of roots of unity. Thus, we have a group action
$$\mu_n \curvearrowright X $$
and the quotient is
Y
. Let us assume that
X
and
Y
are smooth for now, until we understand how to deal with the general case.