Algorithms for Bernstein-Sato polynomials and multiplier ideals

@inproceedings{Berkesch2010AlgorithmsFB,
  title={Algorithms for Bernstein-Sato polynomials and multiplier ideals},
  author={Christine Berkesch and Anton Leykin},
  booktitle={ISSAC},
  year={2010}
}
The Bernstein--Sato polynomial (or global b-function) is an important invariant in singularity theory, which can be computed using symbolic methods in the theory of D-modules. After providing a survey of known algorithms for computing the global b-function, we develop a new method to compute the local b-function for a single polynomial. We then develop algorithms that compute generalized Bernstein--Sato polynomials of Budur--Mustaţă--Saito and Shibuta for an arbitrary polynomial ideal. These… CONTINUE READING

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