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arXiv:2310.16558 [math.AG]AbstractReferencesReviewsResources

A multiplicity formula for the Milnor number of smoothable curves

Andrei Benguş-Lasnier, Terence Gaffney, Antoni Rangachev

Published 2023-10-25Version 1

We derive a multiplicity formula for the Milnor number of a reduced smoothable curve singularity generalizing a well-known formula due to L\^e, Greuel and Teissier for complete intersection curves. We obtain a multiplicity characterization of Whitney equisingularity for families of locally smoothable curves.

Comments: 13 pages
Categories: math.AG, math.AC, math.CV
Subjects: 32S15, 32S30, 32S60, 14C17, 13H15
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