132061 20240301161205.0 doi 10.1093/imrn/rnt052 sideral 86548 ART-2014-86548 eng Cogolludo-Agustín, J. I. Universidad de Zaragoza (orcid)0000-0003-1820-6755 Local invariants on quotient singularities and a genus formula for weighted plane curves 2014 In this paper, we extend the concept of Milnor fiber and Milnor number to curve germs on surface quotient singularities. A generalization of the local d-invariant is defined and described in terms of a Q-resolution of the curve singularity. In particular, when applied to the classical case (the ambient space is a smooth surface) one obtains a formula for the classical d-invariant in terms of a Q-resolution, which simplifies considerably effective computations. All these tools will finally allow for an explicit description of the genus formula of a curve defined on a weighted projective plane in terms of its degree and the local type of its singularities. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.1 2014 MATHEMATICS 42 / 310 = 0.135 2014 Q1 T1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Martín-Morales, J. (orcid)0000-0002-6559-4722 Ortigas-Galindo, J. (orcid)0000-0002-6635-8780 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2014, 13 (2014), 3559-3581 Int. math. res. not. INTERNATIONAL MATHEMATICS RESEARCH NOTICES 1073-7928 416960 http://zaguan.unizar.es/record/132061/files/texto_completo.pdf Postprint 1833424 http://zaguan.unizar.es/record/132061/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:132061 articulos driver 2024-03-01-14:36:16 ARTICLE