doi:10.1093/imrn/rnt052engCogolludo-Agustín, J. I.Martín-Morales, J.Ortigas-Galindo, J.Local invariants on quotient singularities and a genus formula for weighted plane curvesART-2014-86548In 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.2014http://zaguan.unizar.es/record/13206110.1093/imrn/rnt052http://zaguan.unizar.es/record/132061oai:zaguan.unizar.es:132061info:eu-repo/grantAgreement/ES/DGA/E15info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2014, 13 (2014), 3559-3581All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess