Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Log canonical singularities are Du Bois   A recurring difficulty in the Minimal Model Program is that while log
terminal singularities are quite well behaved (for instance, they are
rational), log canonical singularities are much more complicated; they need not
even be Cohen-Macaulay. The aim of this paper is to prove that log canonical
singularities are Du Bois. The concept of Du Bois singularities, introduced by
Steenbrink, is a weakening of rationality. We also prove flatness of the
cohomology sheaves of the relative dualizing complex of a projective family
with Du Bois fibers. This implies that each connected component of the moduli
space of stable log varieties parametrizes either only Cohen-Macaulay or only
non-Cohen-Macaulay objects.

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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: q-fin