Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-normal abelian covers   An abelian cover is a finite morphism $X\to Y$ of varieties which is the
quotient map for a generically faithful action of a finite abelian group $G$.
Abelian covers with $Y$ smooth and $X$ normal were studied in
\cite{Pardini_AbelianCovers}.
  Here we study the non-normal case, assuming that $X$ and $Y$ are $S_2$
varieties that have at worst normal crossings outside a subset of codimension
$\ge 2$. Special attention is paid to the case of $\Z_2^r$-covers of surfaces,
which is used in arxiv:0901.4431 to construct explicitly compactifications of
some components of the moduli space of surfaces of general type.

3
The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an