Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The main component of the toric Hilbert scheme   Let \X be an affine toric variety under a torus \T and let T be a subtorus.
The general T-orbit closures in \X and their flat limits are parametrized by
the main component H_0 of the toric Hilbert scheme. Further, the quotient torus
\T/T acts on H_0 with a dense orbit. We describe the fan of this toric variety;
this leads us to an integral analogue of the fiber polytope of Billera and
Sturmfels. We also describe the relation of H_0 to the main component of the
inverse limit of GIT quotients of \X by T.

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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn