000132061 001__ 132061
000132061 005__ 20240301161205.0
000132061 0247_ $$2doi$$a10.1093/imrn/rnt052
000132061 0248_ $$2sideral$$a86548
000132061 037__ $$aART-2014-86548
000132061 041__ $$aeng
000132061 100__ $$0(orcid)0000-0003-1820-6755$$aCogolludo-Agustín, J. I.$$uUniversidad de Zaragoza
000132061 245__ $$aLocal invariants on quotient singularities and a genus formula for weighted plane curves
000132061 260__ $$c2014
000132061 5060_ $$aAccess copy available to the general public$$fUnrestricted
000132061 5203_ $$aIn 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.
000132061 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02
000132061 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000132061 590__ $$a1.1$$b2014
000132061 591__ $$aMATHEMATICS$$b42 / 310 = 0.135$$c2014$$dQ1$$eT1
000132061 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000132061 700__ $$0(orcid)0000-0002-6559-4722$$aMartín-Morales, J.
000132061 700__ $$0(orcid)0000-0002-6635-8780$$aOrtigas-Galindo, J.
000132061 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000132061 773__ $$g2014, 13 (2014), 3559-3581$$pInt. math. res. not.$$tINTERNATIONAL MATHEMATICS RESEARCH NOTICES$$x1073-7928
000132061 8564_ $$s416960$$uhttps://zaguan.unizar.es/record/132061/files/texto_completo.pdf$$yPostprint
000132061 8564_ $$s1833424$$uhttps://zaguan.unizar.es/record/132061/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000132061 909CO $$ooai:zaguan.unizar.es:132061$$particulos$$pdriver
000132061 951__ $$a2024-03-01-14:36:16
000132061 980__ $$aARTICLE