Constructive \(D\)-module theory with \texttt{Singular} (Q541982)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Constructive \(D\)-module theory with \texttt{Singular} |
scientific article; zbMATH DE number 5905261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive \(D\)-module theory with \texttt{Singular} |
scientific article; zbMATH DE number 5905261 |
Statements
Constructive \(D\)-module theory with \texttt{Singular} (English)
0 references
8 June 2011
0 references
Algorithms in computational \(D\)-module theory are discussed. Especially new approaches to the computation of Bernstein operators, of logarithmic annihilator of a polynomial, of annihilators of rational functions are considered. A new method to compute the Bernstein-Sato polynomial is introduced. All algorithms considered in the paper have been implemented in \textsc{Singular}. The implementation is discussed and examples are given.
0 references
\(D\)-modules
0 references
non-commutative Gröbner bases
0 references
annihilator ideals
0 references
\(b\)-function
0 references
Bernstein-Sato polynomials
0 references
0 references
0 references
0 references
0 references
