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arXiv · 1810.10570

Mixed Bruce-Roberts numbers

Carles Bivià-Ausina·María Aparecida Soares Ruas
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Abstract

We extend the notion of $\mu^*$-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 $X\subseteq \mathbb C^n$ and a finitely $\mathcal R(X)$-determined analytic function germ $f:(\mathbb C^n,0)\to (\mathbb C,0)$. We analyze some fundamental properties of these numbers.

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Carles Bivià-Ausina, María Aparecida Soares Ruas. 2018-10-24. Mixed Bruce-Roberts numbers. https://arxiv.org/abs/1810.10570

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