%0 Journal Article %A Marco Buzunáriz, Miguel ángel %A Pe Pereira, María %T Irreducibility of analytic arc-sections of hypersurface singularities %D 2021 %@ 0031-5303 %U https://hdl.handle.net/20.500.14352/7331 %X 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. %~