Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ASL structures of some quadrics   Let $K$ be a field and $X$, $Y$ denote matrices such that, the entries of $X$
are either indeterminates over $K$ or $0$ and the entries of $Y$ are
indeterminates over $K$ which are different from those appearing in $X$. We
consider ideals of the form $I_{1}(XY)$, which is the ideal generated by the
$1\times 1$ minors of the matrix $XY$. We prove that the quotient ring $K[X,
Y]/I_{1}(XY)$ admits an ASL structure for certain $X$ and $Y$.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess