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We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of irreducible isolated hypersurface singularities for which… Click to show full abstract
We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of irreducible isolated hypersurface singularities for which no irreducible arc-sections exist, and show that reducible ones always exist. Moreover, we give an algorithm to check if a given projection allows irreducible arc-sections, and find them if they exist.
Keywords:
sections hypersurface;
hypersurface singularities;
analytic arc;
arc sections;
irreducibility analytic
Journal Title: Periodica Mathematica Hungarica
Year Published: 2019
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Journal Title: Periodica Mathematica Hungarica
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!