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arXiv · 1904.00298

Irreducibility of analytic arc-sections of hypersurface singularities

Miguel Angel Marco-Buzunariz·Maria Pe Pereira
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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.

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Miguel Angel Marco-Buzunariz, Maria Pe Pereira. 2019-03-30. Irreducibility of analytic arc-sections of hypersurface singularities. https://arxiv.org/abs/1904.00298

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