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math.AG2023
Isolating clusters of zeros of analytic systems using arbitrary-degree inflation
Michael Burr, Kisun Lee, Anton Leykin
Given a system of analytic functions and an approximation to a cluster of zeros, we wish to construct two regions containing the cluster and no other zeros of the system. The small…
math.AG2010★ 7 cited
Algorithms for Bernstein-Sato polynomials and multiplier ideals
Christine Berkesch, Anton Leykin
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…