Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic intersection theory over adelic curves   We establish an arithmetic intersection theory in the framework of Arakelov
geometry over adelic curves. To each projective scheme over an adelic curve, we
associate a multi-homogenous form on the group of adelic Cartier divisors,
which can be written as an integral of local intersection numbers along the
adelic curve. The integrability of the local intersection number is justified
by using the theory of resultants.

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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th