An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation

Algorithmic Computation of de Rham Cohom

Algorithmic Computation of de Rham Cohomology of Complements of Complex Affine Varieties

✍ Uli Walther 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 493 KB

Let X = C n . In this paper we present an algorithm that computes the de Rham cohomology groups H i dR (U, C) where U is the complement of an arbitrary Zariski-closed set Y in X. Our algorithm is a merger of the algorithm given in Oaku and Takayama (1999), who considered the case where Y is a hyper