Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Jacobian ring of a complete intersection   Let f_1,...,f_r be homogeneous polynomials in K[x_1,...,x_n], K a field. Put
F=y_1f_1+...+y_rf_r in K[x,y] and let I be the ideal of K[x,y] generated by the
partials of F relative to the x_i and y_j. The Jacobian ring of F is the
quotient J:=K[x,y]/I. We describe J by computing the cohomology of a certain
complex whose top cohomology group is J.

25
The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc