Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the support of local cohomology modules   For a polynomial ring $R=k[x_1,...,x_n]$, we present a method to compute the
characteristic cycle of the localization $R_f$ for any nonzero polynomial $f\in
R$ that avoids a direct computation of $R_f$ as a $D$-module. Based on this
approach, we develop an algorithm for computing the characteristic cycle of the
local cohomology modules $H^r_I(R)$ for any ideal $I\subseteq R$ using the
\v{C}ech complex. The algorithm, in particular, is useful for answering
questions regarding vanishing of local cohomology modules and computing
Lyubeznik numbers. These applications are illustrated by examples of
computations using our implementation of the algorithm in Macaulay~2.

21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin