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D.15.20 derham_lib

Remark: this libray needs the upcoming version 4 of Singular. Please contact the authors or the Singular team if you like to try it.

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, localzation, 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)

Procedures:

D.15.20.1 deRhamCohomology  computes the de Rham cohomology
D.15.20.2 MVComplex  computes the Mayer-Vietoris complex


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