Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-reducedness of the Hilbert schemes of few points   We use generalised Bialynicki-Birula decomposition, apolarity and obstruction
theories to prove non-reducedness of the Hilbert scheme of $13$ points on
$\mathbb{A}^6$. Our argument doesn't involve computer calculations and gives an
example of a fractal-like structure on this Hilbert scheme.

31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ