Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A support theorem for nested Hilbert schemes of planar curves   Consider a family of integral complex locally planar curves. We show that
under some assumptions on the basis, the relative nested Hilbert scheme is
smooth. In this case, the decomposition theorem of Beilinson, Bernstein and
Deligne asserts that the pushforward of the constant sheaf on the relative
nested Hilbert scheme splits as a direct sum of shifted semisimple perverse
sheaves. We will show that no summand is supported in positive codimension.

3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph