Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $F$-singularities under generic linkage   Let $R=k[x_1,\dots,x_n]$ be a polynomial ring over a prefect field of
positive characteristic. Let $I$ be an unmixed ideal in $R$ and let $J$ be a
generic link of $I$ in $S=R[u_{ij}]_{c \times r}$. We describe the parameter
test submodule of $S/J$ in terms of the test ideal of the pair $(R, I)$ when a
reduction of $I$ is a complete intersection or almost complete intersection. As
an application, we deduce a criterion for when $S/J$ has $F$-rational
singularities in these cases. We also compare the $F$-pure threshold of $(R,
I)$ and $(S, J)$.

21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs