000132055 001__ 132055 000132055 005__ 20240301161205.0 000132055 0247_ $$2doi$$a10.5427/jsing.2014.8b 000132055 0248_ $$2sideral$$a86439 000132055 037__ $$aART-2014-86439 000132055 041__ $$aeng 000132055 100__ $$0(orcid)0000-0002-8276-5116$$aBartolo, E. A.$$uUniversidad de Zaragoza 000132055 245__ $$aIntersection theory on abelian-quotient V-surfaces and Q-resolutions 000132055 260__ $$c2014 000132055 5060_ $$aAccess copy available to the general public$$fUnrestricted 000132055 5203_ $$aAbstract: 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. 000132055 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02 000132055 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000132055 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000132055 700__ $$0(orcid)0000-0002-6559-4722$$aMartín-Morales, J. 000132055 700__ $$0(orcid)0000-0002-6635-8780$$aOrtigas-Galindo, J. 000132055 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000132055 773__ $$g8 (2014), 11-30$$tJournal of singularities$$x1949-2006 000132055 8564_ $$s616862$$uhttps://zaguan.unizar.es/record/132055/files/texto_completo.pdf$$yVersión publicada 000132055 8564_ $$s1998743$$uhttps://zaguan.unizar.es/record/132055/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000132055 909CO $$ooai:zaguan.unizar.es:132055$$particulos$$pdriver 000132055 951__ $$a2024-03-01-14:35:56 000132055 980__ $$aARTICLE