Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Centers of F-purity   In this paper, we study a positive characteristic analogue of the centers of
log canonicity of a pair $(R, \Delta)$. We call these analogues centers of
$F$-purity. We prove positive characteristic analogues of subadjunction-like
results, prove new stronger subadjunction-like results, and in some cases, lift
these new results to characteristic zero. Using a generalization of centers of
$F$-purity which we call uniformly $F$-compatible ideals, we give a
characterization of the test ideal (which unifies several previous
characterizations). Finally, in the case that $\Delta = 0$, we show that
uniformly $F$-compatible ideals coincide with the annihilators of the
$\mathcal{F}(E_R(k))$-submodules of $E_R(k)$ as defined by Smith and Lyubeznik.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat