doi:10.5427/jsing.2014.8bengBartolo, E. A.Martín-Morales, J.Ortigas-Galindo, J.Intersection theory on abelian-quotient V-surfaces and Q-resolutionsART-2014-86439Abstract: In this paper we study the intersection theory on surfaces with abelian quotient singularities and we obtain formulas for its behavior under weighted blow-ups. As applications, we extend Mumford's formulas for the intersection theory on normal divisors, we derive properties for quotients of weighted projective planes, and finally, we compute abstract Q-resolutions of normal surfaces using Jung's method. Keywords: Quotient singularity, intersection number, embedded Q-resolution.2014http://zaguan.unizar.es/record/13205510.5427/jsing.2014.8bhttp://zaguan.unizar.es/record/132055oai:zaguan.unizar.es:132055info:eu-repo/grantAgreement/ES/DGA/E15info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02Journal of singularities 8 (2014), 11-30All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess