Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Demi-Normal Surface Singularities   We prove semi-rationalification and semi-log-canonicalization for Gorenstein
demi-normal surfaces. That is, given a Gorenstein demi-normal surface X with
semi-rational (respectively, semi-log canonical) singularities in an open set U
with complement a finite set of points, there is a proper birational morphism f
: Y --> X such that f is an isomorphism over U and Y has only semi-rational
(respectively, semi-log canonical) singularities. We proceed by passing to the
normalization and then gluing along the conductor in an appropriate
rationalification or log-canonicalization of the normalization of X.

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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc