Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: About a variation of local cohomology   Let $\mathfrak{q}$ denote an ideal of a local ring $(A,\mathfrak{m})$. For a
system of elements $\underline{a} = a_1,\ldots,a_t$ such that $a_i \in
\mathfrak{q}^{c_i}, i = 1, \ldots,t,$ and $n \in \mathbb{Z}$ we investigate a
subcomplex resp. a factor complex of the \v{C}ech complex
$\check{C}_{\underline{a}} \otimes_A M$ for a finitely generated $A$-module
$M$. We start with the inspection of these cohomology modules that approximate
in a certain sense the local cohomology modules $H^i_{\underline{a}}(M)$ for
all $i \in \mathbb{N}$. In the case of an $\mathfrak{m}$-primary ideal
$\underline{a} A$ we prove the Artinianness of these cohomology modules and
characterize the last non-vanishing among them.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph