Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert schemes, commuting matrices, and hyperk\"ahler geometry   We represent algebraic curves via commuting matrix polynomials. This allows
us to show that the Hilbert scheme of cohomologically stable twisted rational
curves of degree $d$ in ${\Bbb P}^3\backslash {\Bbb P}^1$ is isomorphic to a
complexified hyperk\"ahler quotient of an open subset of a vector space by a
non-reductive Lie group.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat