Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing minimal Gorenstein covers   We analyze and present an effective solution to the minimal Gorenstein cover
problem: given a local Artin k-algebra $A = k[[x 1 ,. .. x n ]]/I$, compute an
Artin Gorenstein $k$-algebra $G = k[[x 1 ,. .. x n ]]/J$ such that
$\ell(G)--\ell(A)$ is minimal. We approach the problem by using Macaulay's
inverse systems and a modification of the integration method for inverse
systems to compute Gorenstein covers. We propose new characterizations of the
minimal Gorenstein cover and present a new algorithm for the effective
computation of the variety of all minimal Gorenstein covers of A for low
Gorenstein colength. Experimentation illustrates the practical behavior of the
method.

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
16
The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat