Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous coordinate rings and mirror symmetry for toric varieties   Given a smooth toric variety X and an ample line bundle O(1), we construct a
sequence of Lagrangian submanifolds of (C^*)^n with boundary on a level set of
the Landau-Ginzburg mirror of X. The corresponding Floer homology groups form a
graded algebra under the cup product which is canonically isomorphic to the
homogeneous coordinate ring of X.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom