### D.5.3 deRham_lib

Library:
  deRham.lib
Purpose:
  Computation of deRham cohomology

Authors:
  Cornelia Rottner, rottner@mathematik.uni-kl.de

Overview:
  A library for computing the de Rham cohomology of complements of complex affine varieties.

References:
  [OT] Oaku, T.; Takayama, N.: Algorithms of D-modules - restriction, tensor product, localization, and local cohomology groups}, J. Pure Appl. Algebra 156, 267-308 (2001)
  [R] Rottner, C.: Computing de Rham Cohomology,diploma thesis (2012)
  [W1] Walther, U.: Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties}, J. Pure Appl. Algebra 139, 303-321 (1999)
  [W2] Walther, U.: Algorithmic computation of de Rham Cohomology of Complements of Complex Affine Varieties}, J. Symbolic Computation 29, 796-839 (2000)
  [W3] Walther, U.: Computing the cup product structure for complements of complex affine varieties, J. Pure Appl. Algebra 164, 247-273 (2001)

Procedures:

> D.5.3.1 deRhamCohomology |  | computes the de Rham cohomology
> D.5.3.2 MVComplex |  | computes the Mayer-Vietoris complex

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