doi:10.1007/s10998-020-00346-xengMarco Buzunariz, Miguel AngelPe Pereira, MaríaIrreducibility of analytic arc-sections of hypersurface singularitiesART-2020-117680We 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.2020http://zaguan.unizar.es/record/10207410.1007/s10998-020-00346-xhttp://zaguan.unizar.es/record/102074oai:zaguan.unizar.es:102074info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-1-Pinfo:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-Pinfo:eu-repo/grantAgreement/ES/MINECO/MTM2017-89420-PPeriodica Mathematica Hungarica 82 (2020), 136–148All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess