Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ordinary and symbolic powers are Golod   Let $S$ be a positively graded polynomial ring over a field of characteristic
0, and $I\subset S$ a proper graded ideal. In this note it is shown that $S/I$
is Golod if $\partial(I)^2\subset I$. Here $\partial(I)$ denotes the ideal
generated by all the partial derivatives of elements of $I$. We apply this
result to find large classes of Golod ideals, including powers, symbolic
powers, and saturations of ideals.

28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph