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Some Applications of Resolution of Singularities from the Practical Point of View
Anne Frühbis‐Krüger, Gerhard Pfister
104 - 117
NATO Science Series, III: Computer and Systems Sciences
Volume 196: Computational Commutative and Non-Commutative Algebraic Geometry
Abstract

Recent implementations of algorithms for resolution of singularities have not only shown that it is feasible to implement these algorithms, but also that the performance allows the use of desingularisation as a tool in more complex computational tasks. In this article, we want to follow this idea and outline some rather direct applications of the algorithmic resolution of singularities such as the intersection matrix of the exceptional divisors, spectral numbers of a hypersurface singularity or the Denef‐Loeser zeta function.

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