Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the arithmetic Siegel--Weil formula for GSpin Shimura varieties   We formulate and prove a local arithmetic Siegel--Weil formula for GSpin
Rapoport--Zink spaces, which is a precise identity between the arithmetic
intersection numbers of special cycles on GSpin Rapoport--Zink spaces and the
derivatives of local representation densities of quadratic forms. As a first
application, we prove a semi-global arithmetic Siegel--Weil formula as
conjectured by Kudla, which relates the arithmetic intersection numbers of
special cycles on GSpin Shimura varieties at a place of good reduction and the
central derivatives of nonsingular Fourier coefficients of incoherent Siegel
Eisenstein series.

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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga