000132848 001__ 132848 000132848 005__ 20240315113108.0 000132848 0247_ $$2doi$$a10.1007/s11856-014-1078-z 000132848 0248_ $$2sideral$$a137653 000132848 037__ $$aART-2014-137653 000132848 041__ $$aeng 000132848 100__ $$0(orcid)0000-0002-6559-4722$$aMartín-Morales, Jorge 000132848 245__ $$aEmbedded Q-resolutions for Yomdin-Lê surface singularities 000132848 260__ $$c2014 000132848 5060_ $$aAccess copy available to the general public$$fUnrestricted 000132848 5203_ $$aIn a previous work we have introduced and studied a special kind of toric resolution, the so-called embedded Q-resolution, which essentially consists in allowing the final ambient space to contain abelian quotient singularities. Here we explicitly compute an embedded Q-resolution of a Yomdin-Lê surface singularity (V,0) in terms of a (global) embedded Q-resolution of its tangent cone by means of just weighted blow-ups at points. The generalized A’Campo’s formula in this setting is applied so as to compute the characteristic polynomial. As a consequence, an exceptional divisor in the resolution of (V,0), apart from the first one which might be special, contributes to its complex monodromy if and only if so does the corresponding divisor in the tangent cone. Thus the resolution obtained is optimal in the sense that the weights can be chosen so that every exceptional divisor in the Q-resolution of (V,0), except perhaps the first one, contributes to its monodromy. 000132848 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02 000132848 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000132848 590__ $$a0.787$$b2014 000132848 591__ $$aMATHEMATICS$$b92 / 310 = 0.297$$c2014$$dQ2$$eT1 000132848 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000132848 773__ $$g204 (2014), 97-143$$pIsr. J. Math.$$tIsrael Journal of Mathematics$$x0021-2172 000132848 8564_ $$s516987$$uhttps://zaguan.unizar.es/record/132848/files/texto_completo.pdf$$yPostprint 000132848 8564_ $$s1879532$$uhttps://zaguan.unizar.es/record/132848/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000132848 909CO $$ooai:zaguan.unizar.es:132848$$particulos$$pdriver 000132848 951__ $$a2024-03-15-08:51:09 000132848 980__ $$aARTICLE