Mixed Bruce-Roberts numbers

2018/10/24 by Bivià-Ausina, Carles, Ruas, María Aparecida Soares
#32S05 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.10570

Abstract

We extend the notion of μ^*-sequence and Tjurina number of functions to the framework of Bruce-Roberts numbers, that is, to pairs formed by the germ at 0 of a complex analytic variety X⊆ \mathbb Cⁿ and a finitely \mathcal R(X)-determined analytic function germ f:(\mathbb Cⁿ,0)→ (\mathbb C,0). We analyze some fundamental properties of these numbers.

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