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Invariants of Non-Isolated Singularities of Hypersurfaces (2307.04645v1)

Published 11 Jun 2023 in math.AG and math.AC

Abstract: In this paper we generalize some results by Siersma, Pellikaan, and de Jong regarding morsifications of singular hypersurfaces whose singular locus is a smooth curve, and present some applications to the study of Yomdin-type isolated singularities. In order to prove these results, we discuss the transversal discriminant of such singularities and how it relates to other algebraic and topological invariants.

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