Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Test ideals in non-Q-Gorenstein rings   Suppose that $X = \Spec R$ is an $F$-finite normal variety in characteristic
$p > 0$. In this paper we show that the big test ideal $\tau_b(R) = \tld
\tau(R)$ is equal to $\sum_{\Delta} \tau(R; \Delta)$ where the sum is over
$\Delta$ such that $K_X + \Delta$ is $\bQ$-Cartier. This affirmatively answers
a question asked by various people, including Blickle, Lazarsfeld, K. Lee and
K. Smith. Furthermore, we have a version of this result in the case that $R$ is
not even necessarily normal.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex