Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The graded ring of quantum theta functions for noncommutative torus with
  real multiplication   For quantum torus generated by unitaries $UV = e(\theta)VU$ there exist
nontrivial strong Morita autoequivalences in case when $\theta$ is real
quadratic irrationality. A.Polishchuk introduced and studied the graded ring of
holomorphic sections of powers of the respective bimodule (depending on the
choice of a complex structure). We consider a Segre square of this ring whose
graded components are spanned by Rieffel scalar products of Polishchuk's
holomorphic vectors. These graded components are linear spaces of quantum theta
functions in sense of Yu.Manin.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics