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.
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
Tel.: +1 703 830 6300
Fax: +1 703 830 2300 email@example.com
(Corporate matters and books only) IOS Press c/o Accucoms US, Inc.
For North America Sales and Customer Service
West Point Commons
Lansdale PA 19446
Tel.: +1 866 855 8967
Fax: +1 215 660 5042 firstname.lastname@example.org