102074 20220405150412.0 doi 10.1007/s10998-020-00346-x sideral 117680 ART-2020-117680 eng Marco Buzunariz, Miguel Angel Universidad de Zaragoza (orcid)0000-0002-6750-8971 Irreducibility of analytic arc-sections of hypersurface singularities 2020 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-1-P info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P info:eu-repo/grantAgreement/ES/MINECO/MTM2017-89420-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.94 2020 MATHEMATICS, APPLIED 196 / 265 = 0.74 2020 Q3 T3 MATHEMATICS 170 / 330 = 0.515 2020 Q3 T2 0.462 2020 Mathematics (miscellaneous) 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Pe Pereira, María 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 82 (2020), 136–148 Periodica Mathematica Hungarica Periodica Mathematica Hungarica 0031-5303 395464 http://zaguan.unizar.es/record/102074/files/texto_completo.pdf Postprint 1228574 http://zaguan.unizar.es/record/102074/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:102074 articulos driver 2022-04-05-14:35:15 ARTICLE