RT Journal Article T1 Irreducibility of analytic arc-sections of hypersurface singularities A1 Marco Buzunáriz, Miguel ángel A1 Pe Pereira, María AB 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. PB Springer SN 0031-5303 YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/7331 UL https://hdl.handle.net/20.500.14352/7331 LA eng DS Docta Complutense RD 15 abr 2025