A computational approach to the D-module of meromorphic functions

Abstract

Let $D$ be a divisor in ${\mathbf{C}}^n$. We present methods to compare the $\mathcal{D}$-module of the meromorphic functions $\mathcal{O}[\ast D]$ to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.

11 pages