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arXiv · 1405.6760

Equisingularity in one parameter families of generically reduced curves

Javier Fernández de Bobadilla·Jawad Snoussi·Mark Spivakovsky
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Abstract

We explore some equisingularity criteria in one parameter families of generically reduced curves. We prove the equivalence between Whitney regularity and Zariski's discriminant criterion. We prove that topological triviality implies smoothness of the normalized surface. Examples are given to show that Witney regularity and equisaturation are not stable under the blow-up of the singular locus nor under the Nash modification.

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Javier Fernández de Bobadilla, Jawad Snoussi, Mark Spivakovsky. 2014-05-27. Equisingularity in one parameter families of generically reduced curves. https://arxiv.org/abs/1405.6760

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