Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial Excess Intersection   We provide formulas and algorithms for computing the excess numbers of
certain ideals. The solution for monomial ideals is given by the mixed volumes
of certain polytopes. These results enable us to design specific homotopies for
numerical algebraic geometry.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
16
The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex