Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality and Socle Generators for Residual Intersections   Paper has been accepted for publication in the Journal f\"ur die reine und
Angewandte Mathematik. This version contains the corrections and additional
references made in the Galley proofs.

8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat