Note on Equisingularity in Codimension 1 and Characteristic p ≠ 0

Isabel Bermejo

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 203-218 from Springer

Abstract: Abstract In this paper we study the equisingularity of a family of plane algebroid curves parametrized by a smooth variety in characteristic p≠ 0. As Zariski did in the characteristic zero case, we consider this family as an algebroid hypersurface V together with a regular subvariety W of codimension 1 and give a condition for V to be equisingular at its origin along W. The definition is given in terms of equiresolution and coincides with Zariski’s definition in characteristic zero. This note is based on our previous work [3], [4].

Keywords: Irreducible Component; Local Ring; Formal Power Series; Characteristic Zero; Singular Locus (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18487-1_11

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DOI: 10.1007/978-3-642-18487-1_11

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