118829 20240731103311.0 doi 10.1090/conm/778/15660 sideral 130236 ART-2022-130236 eng Cogolludo-Agustín, José Universidad de Zaragoza (orcid)0000-0003-1820-6755 Local invariants of minimal generic curves on rational surfaces 2022 Access copy available to the general public Unrestricted Let (C, 0) be a reduced curve germ in a normal surface singularity (X, 0). The main goal is to recover the delta invariant [delta](C) of the abstract curve (C, 0) from the topology of the embedding (C, 0) ⊂ (X, 0). We give explicit formulae whenever (C, 0) is minimal generic and (X, 0) is rational (as continuation of [8, 9]). Additionally, in this case, we prove that if (X, 0) is a quotient singularity, then [delta](C) only admits the values r−1 or r, where r is the number or irreducible components of (C, 0). ([delta](C) = r − 1 realizes the extremal lower bound, valid only for 'ordinary r–tuples'.) info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/EC/FP7/615655/EU/New methods and interacions in Singularity Theory and beyond/NMST info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/ES/MINECO/SEV-2017-0718 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.425 2022 Mathematics (miscellaneous) 2022 0.9 2022 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion László, Tamás Martín-Morales, Jorge Universidad de Zaragoza (orcid)0000-0002-6559-4722 Némethi, András 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 778 (2022), 231-258 Contemp. math.- Am. Math. Soc. Contemporary mathematics - American Mathematical Society 0271-4132 571666 http://zaguan.unizar.es/record/118829/files/texto_completo.pdf Postprint 1736060 http://zaguan.unizar.es/record/118829/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:118829 articulos driver 2024-07-31-09:39:36 ARTICLE