53 citations · 123 across the 30 of their papers we have counts for
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math.AG1998★ 4 cited
A Localization Algorithm for -modules
Toshinori Oaku, Nobuki Takayama, Uli Walther
We present a method to compute the holonomic extension of a -module from a Zariski open set in affine space to the whole space. A particular application is the localization of c…
math.AG1998★ 4 cited
Algorithms for D-modules --- restriction, tensor product, localization, and local cohomology groups
Toshinori Oaku, Nobuki Takayama
We describe algorithms for computing various functors for algebraic D-modules, i.e. systems of linear partial differential equations with polynomial coefficients. We will give algo…
math.AG1998
An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation
Toshinori Oaku, Nobuki Takayama
We give an algorithm to compute the following cohomology groups on $U = \C^n \setminus V(f)$ for any non-zero polynomial $f \in \Q[x_1, ..., x_n]$; 1. $H^k(U, \C_U)$, $\C_U$ is the…