Chapter of Book
Nouvelle Cuisine for the Computation of the Annihilating Ideal of $f^s$
Author/s | Gago Vargas, Manuel Jesús
Hartillo Hermoso, Isabel Ucha Enríquez, José María |
Department | Universidad de Sevilla. Departamento de Álgebra |
Publication Date | 2005 |
Deposit Date | 2015-03-27 |
Published in |
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ISBN/ISSN | 978-3-540-28966-1 |
Abstract | Let $f_1,\ldots, f_p$ be polynomials in ${\bf C}[x_1,\ldots, x_n]$
and let $D = D_n$ be the $n$-th Weyl algebra. The annihilating
ideal of $f^s=f_1^{s_1}\cdots f_p^{s_p}$ in
$D[s]=D[s_1,\ldots,s_p]$ is a necessary step ... Let $f_1,\ldots, f_p$ be polynomials in ${\bf C}[x_1,\ldots, x_n]$ and let $D = D_n$ be the $n$-th Weyl algebra. The annihilating ideal of $f^s=f_1^{s_1}\cdots f_p^{s_p}$ in $D[s]=D[s_1,\ldots,s_p]$ is a necessary step for the computation of the Bernstein-Sato ideals of $f_1,\ldots, f_p$. We point out experimental differences among the efficiency of the available methods to obtain this annihilating ideal and provide some upper bounds for the complexity of its computation. |
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