000102074 001__ 102074 000102074 005__ 20220405150412.0 000102074 0247_ $$2doi$$a10.1007/s10998-020-00346-x 000102074 0248_ $$2sideral$$a117680 000102074 037__ $$aART-2020-117680 000102074 041__ $$aeng 000102074 100__ $$0(orcid)0000-0002-6750-8971$$aMarco Buzunariz, Miguel Angel$$uUniversidad de Zaragoza 000102074 245__ $$aIrreducibility of analytic arc-sections of hypersurface singularities 000102074 260__ $$c2020 000102074 5060_ $$aAccess copy available to the general public$$fUnrestricted 000102074 5203_ $$aWe 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. 000102074 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-1-P$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-89420-P 000102074 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000102074 590__ $$a0.94$$b2020 000102074 591__ $$aMATHEMATICS, APPLIED$$b196 / 265 = 0.74$$c2020$$dQ3$$eT3 000102074 591__ $$aMATHEMATICS$$b170 / 330 = 0.515$$c2020$$dQ3$$eT2 000102074 592__ $$a0.462$$b2020 000102074 593__ $$aMathematics (miscellaneous)$$c2020$$dQ2 000102074 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000102074 700__ $$aPe Pereira, María 000102074 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000102074 773__ $$g82 (2020), 136–148$$pPeriodica Mathematica Hungarica$$tPeriodica Mathematica Hungarica$$x0031-5303 000102074 8564_ $$s395464$$uhttps://zaguan.unizar.es/record/102074/files/texto_completo.pdf$$yPostprint 000102074 8564_ $$s1228574$$uhttps://zaguan.unizar.es/record/102074/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000102074 909CO $$ooai:zaguan.unizar.es:102074$$particulos$$pdriver 000102074 951__ $$a2022-04-05-14:35:15 000102074 980__ $$aARTICLE