Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Constancy of Intersection Numbers   We prove that, in certain situations, intersection numbers on formal schemes
that come in profinite families vary locally constantly in the parameter. To
this end, we define the product $S\times M$ of a profinite set $S$ with a
locally noetherian formal scheme $M$ and study intersections thereon. Our
application is to the Arithmetic Fundamental Lemma of W. Zhang where the result
helps to remove a restriction in its recent proof, cf. arXiv:1909.02697.

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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex