Irreducibility of analytic arc-sections of hypersurface singularities

Marco Buzunariz, Miguel Angel (Universidad de Zaragoza) ; Pe Pereira, María

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s10998-020-00346-x

Año: 2020

Publicado en: Periodica Mathematica Hungarica 82 (2020), 136–148
ISSN: 0031-5303

Factor impacto JCR: 0.94 (2020)

Categ. JCR: MATHEMATICS, APPLIED rank: 196 / 265 = 0.74 (2020) - Q3 - T3
Categ. JCR: MATHEMATICS rank: 170 / 330 = 0.515 (2020) - Q3 - T2

Factor impacto SCIMAGO: 0.462 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-1-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2017-89420-P

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)