Abstract
Logarithmic vector fields along an isolated complete intersection singularity (ICIS) are considered in the context of computational complex analysis. Based on the theory of local polar varieties, an effective method is introduced for computing a set of generators, over a local ring, of the modules of germs of logarithmic vector fields. Underlying ideas of our approach are the use of a parametric version of the concept of local cohomology and the Matlis duality. The algorithms are designed to output a set of representatives of logarithmic vector fields which is suitable to study their complex analytic properties. Some examples are given to illustrate the resulting algorithms.
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