Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization and ``theta functions''   Geometric Quantization links holomorphic geometry with real geometry, a
relation that is a prototype for the modern development of mirror symmetry. We
show how to use this treatment to construct a special basis in every space of
conformal blocks. This is a direct generalization of the basis of theta
functions with characteristics in every complete linear system on an Abelian
variety (see Mumford's "Tata lectures on theta" cite(Mumford)). The same
construction generalizes the classical theory of theta functions to vector
bundles of higher rank on Abelian varieties and K3 surfaces. We also discuss
the geometry behind these constructions.

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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat