Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crepant resolutions of double covers: On the Cynk-Hulek criterion for
  crepant resolutions of double cover   A collection $S = \{D_1,\ldots, D_n\}$ of divisors in a smooth variety $X$ is
an {\em arrangement} if intersections of all subsets of $S$ are smooth. We show
that a double cover of $X$ ramified on an arrangement has a crepant resolution
under additional hypotheses. Namely, we assume that all intersection components
that change the canonical divisor when blown up satisfy are {\em splayed}, a
property of the tangent spaces of the components first studied by Faber. This
strengthens a result of Cynk and Hulek, which requires a stronger hypothesis on
the intersection components. Further, we study the singular subscheme of the
union of the divisors in $S$ and prove that it has a primary decomposition
where the primary components are supported on exactly the subvarieties which
are blown up in the course of constructing the crepant resolution of the double
cover.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ