On the fifth Whitney cone of a complex analytic curve

Autor:	Arturo Giles Flores, Otoniel Nogueira Silva, Jawad Snoussi
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Computer Science::Discrete Mathematics Mathematics - Complex Variables Applied Mathematics FOS: Mathematics Geometry and Topology Complex Variables (math.CV) Algebraic Geometry (math.AG)
Popis:	From a procedure to calculate the $C_5$-cone of a reduced complex analytic curve $X \subset \mathbb{C}^n$ at a singular point $0 \in X$, we extract a collection of integers that we call {\it auxiliary multiplicities} and we prove they characterize the Lipschitz type of complex curve singularities. We then use them to improve the known bounds for the number of irreducible components of the $C_5$-cone. We finish by giving an example showing that in a Lipschitz equisingular family of curves the number of planes in the $C_5$-cone may not be constant.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a52f1e06fb9ffe334f017ca68d6dd0e http://arxiv.org/abs/2106.14106 Zobrazit plný text záznamu