Corpus ID: 7381868

Generation of real algebraic loci by complex detours

@article{Kranich2015GenerationOR,
  title={Generation of real algebraic loci by complex detours},
  author={S. Kranich},
  journal={ArXiv},
  year={2015},
  volume={abs/1510.05464}
}
  • S. Kranich
  • Published 2015
  • Mathematics, Computer Science
  • ArXiv
We discuss the locus generation algorithm used by the dynamic geometry software Cinderella, and how it uses complex detours to resolve singularities. We show that the algorithm is independent of the orientation of its complex detours. We conjecture that the algorithm terminates if it takes small enough complex detours and small enough steps on every complex detour. Moreover, we introduce a variant of the algorithm that possibly generates entire real connected components of real algebraic loci… Expand

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