Corpus ID: 238353974

Segre-Driven Radicality Testing

@article{Helmer2021SegreDrivenRT,
  title={Segre-Driven Radicality Testing},
  author={Martin Helmer and Elias P. Tsigaridas},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.01913}
}
We present a probabilistic algorithm to test if a homogeneous polynomial ideal I defining a scheme X in Pn is radical using Segre classes and other geometric notions from intersection theory. Its worst case complexity depends on the geometry of X . If the scheme X has reduced isolated primary components and no embedded components supported the singular locus ofXred = V( √ I), then the worst case complexity is doubly exponential in n; in all the other cases the complexity is singly exponential… Expand

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