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arXiv · 2307.04645

Invariants of Non-Isolated Singularities of Hypersurfaces

Yotam Svoray
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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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Yotam Svoray. 2023-06-11. Invariants of Non-Isolated Singularities of Hypersurfaces. https://arxiv.org/abs/2307.04645

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