Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Serre Intersection Multiplicity Conjecture   In this short note, we expose some of the works on Serre intersection
multiplicity conjecture. I provide a proof of the vanishing of Serre
intersection multiplicity in non-proper intersection over a regular ring based
on the intersection theory in W. Fulton.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con