132848 20240315113108.0 doi 10.1007/s11856-014-1078-z sideral 137653 ART-2014-137653 eng Martín-Morales, Jorge (orcid)0000-0002-6559-4722 Embedded Q-resolutions for Yomdin-Lê surface singularities 2014 In 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.787 2014 MATHEMATICS 92 / 310 = 0.297 2014 Q2 T1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 204 (2014), 97-143 Isr. J. Math. Israel Journal of Mathematics 0021-2172 516987 http://zaguan.unizar.es/record/132848/files/texto_completo.pdf Postprint 1879532 http://zaguan.unizar.es/record/132848/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:132848 articulos driver 2024-03-15-08:51:09 ARTICLE