A multiplicity formula for the Milnor number of smoothable curves

Autor:	Benguş-Lasnier, Andrei, Gaffney, Terence, Rangachev, Antoni
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra Mathematics - Complex Variables 32S15 32S30 32S60 14C17 13H15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages, corrected typos, improved exposition, Proposition 4.2 is added to explain better why X_y and W_y intersect transversally for generic Z and y
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.16558 Zobrazit plný text záznamu View this record from Arxiv