Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on injectivity of Frobenius on local cohomology of global
  complete intersections   Given a graded complete intersection ideal $J = (f_1, \dots, f_c) \subseteq
k[x_0, \dots, x_n] = S$, where $k$ is a field of characteristic $p > 0$ such
that $[k:k^p] < \infty$, we show that if $S/J$ has an isolated non-F-pure point
then the Frobenius action on top local cohomology $H^{n+1-c}_\mathfrak{m}(S/J)$
is injective in sufficiently negative degrees, and we compute the least degree
of any kernel element. If $S/J$ has an isolated singularity, we are also able
to give an effective bound on $p$ ensuring the Frobenius action on
$H^{n+1-c}_\mathfrak{m}(S/J)$ is injective in all negative degrees, extending a
result of Bhatt and Singh in the hypersurface case.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph