Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of log canonical singularities   We prove that the cohomology sheaves of the relative dualizing complex of a
flat family of varieties with semi-log-canonical or Du Bois singularities are
flat and commute with base change. This is a local version of our earlier
similar result where the family was assumed to be projective. We also derive
several consequences for deformations of semi-log-canonical and of Du Bois
singularities.

35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
16
The categories of this paper are: stat
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: supr-con