000131742 001__ 131742 000131742 005__ 20240219150721.0 000131742 0247_ $$2doi$$a10.1007/s10231-015-0546-3 000131742 0248_ $$2sideral$$a96345 000131742 037__ $$aART-2016-96345 000131742 041__ $$aeng 000131742 100__ $$0(orcid)0000-0002-6559-4722$$aMartín-Morales, J. 000131742 245__ $$aSemistable reduction of a normal crossing Q -divisor 000131742 260__ $$c2016 000131742 5060_ $$aAccess copy available to the general public$$fUnrestricted 000131742 5203_ $$aIn a previous work, we have introduced the notion of embedded Q-resolution, which allows the final ambient space to contain abelian quotient singularities, and A’Campo’s formula was calculated in this setting. Here, we study the semistable reduction associated with an embedded Q-resolution and compute the mixed Hodge structure on the cohomology of the Milnor fiber in the isolated case using a generalization of Steenbrink’s spectral sequence. Examples of Yomdin-Lê surface singularities are presented as an application. 000131742 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P 000131742 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000131742 590__ $$a0.864$$b2016 000131742 591__ $$aMATHEMATICS$$b84 / 310 = 0.271$$c2016$$dQ2$$eT1 000131742 591__ $$aMATHEMATICS, APPLIED$$b139 / 255 = 0.545$$c2016$$dQ3$$eT2 000131742 592__ $$a1.151$$b2016 000131742 593__ $$aApplied Mathematics$$c2016$$dQ1 000131742 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000131742 773__ $$g195, 5 (2016), 1749-1769$$pAnn Mat. Pura Appl.$$tAnnali di Matematica Pura ed Applicata$$x0373-3114 000131742 8564_ $$s540609$$uhttps://zaguan.unizar.es/record/131742/files/texto_completo.pdf$$yPostprint 000131742 8564_ $$s1416558$$uhttps://zaguan.unizar.es/record/131742/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000131742 909CO $$ooai:zaguan.unizar.es:131742$$particulos$$pdriver 000131742 951__ $$a2024-02-19-13:25:13 000131742 980__ $$aARTICLE