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oai:docta.ucm.es:20.500.14352/437152023-08-26T10:03:32Zcom_20.500.14352_14col_20.500.14352_15

Singularities of dimensionality type 1 Castellanos Peñuela, Julio Antonio 512 14 H10 14 H20 14 H50 Álgebra 1201 Álgebra We study the equisingularity of singularities of dimensionality type 1 (following Zariski’s terminology) for varieties that are not necessarily hypersurfaces. We view each variety as a family of space curves, some of them being nonreduced, and we characterize the simultaneous resolution of the family by means of some invariants of the curves of the family. The results can be applied for the study of the equisingularity theory supported on the stratification by simultaneous resolvability of singularities Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T03:31:34Z 2023-06-20T03:31:34Z 2010 journal article https://hdl.handle.net/20.500.14352/43715 0022-4049 10.1016/j.jpaa.2009.04.014 eng MTM2007-64704. 2007/2012 restricted access application/pdf Elsevier Science B.V. (North-Holland)