A New Algorithm for Whitney Stratification of Varieties
<|reference_start|>A New Algorithm for Whitney Stratification of Varieties: We describe a new algorithm to compute Whitney stratifications of real and complex algebraic varieties. This algorithm is a modification of the algorithm of Helmer and Nanda (HN), but is made more efficient by using techniques for equidimensional decomposition rather than computing the set of associated primes of a polynomial ideal at a key step in the HN algorithm. We note that this modified algorithm may fail to produce a minimal Whitney stratification even when the HN algorithm would produce a minimal stratification. We, additionally, present an algorithm to coarsen any Whitney stratification of a complex variety to a minimal Whitney stratification; the theoretical basis for our approach is a classical result of Teissier.<|reference_end|>
@article{helmer2024a,
    title={A New Algorithm for Whitney Stratification of Varieties},
    author={Martin Helmer and Rafael Mohr},
    journal={arXiv preprint arXiv:2406.17122},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.17122},
    primaryClass={math.AG cs.SC math.AC math.AT}
}