Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary cycles on Shimura curves and the Shimura lift I   This paper concerns two families of divisors, which we call the `orthogonal'
and `unitary' special cycles, defined on integral models of Shimura curves. The
orthogonal family was studied extensively by Kudla-Rapoport-Yang, who showed
that they are closely related to the Fourier coefficients of modular forms of
weight 3/2, while the `unitary' divisors are analogues of cycles appearing in
more recent work of Kudla-Rapoport on unitary Shimura varieties. Our main
result shows that these two families are related by (a formal version of) the
Shimura lift.

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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: ao-sci