Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Max Noether Fundamental Theorem is Combinatorial   In the present paper we give a reformulation of the Noether Fundamental
Theorem for the special case where the three curves involved have the same
degree. In this reformulation, the local Noether's Conditions are weakened. To
do so we introduce the concept of Abstract Curve Combinatorics (ACC) which will
be, in the context of plane curves, the analogue of matroids for hyperplane
arrangements.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th