Mixed Bruce-Roberts numbers
Carles Bivi\`a-Ausina, Mar\'ia Aparecida Soares Ruas

TL;DR
This paper extends Bruce-Roberts numbers to pairs of complex analytic varieties and functions, analyzing their fundamental properties to deepen understanding of singularity invariants in complex geometry.
Contribution
It introduces a generalized framework for Bruce-Roberts numbers for pairs of varieties and functions, expanding their theoretical foundation.
Findings
Extended $oldsymbol{ ext{μ}^*}$-sequence and Tjurina number concepts.
Analyzed fundamental properties of these extended numbers.
Provided insights into singularity invariants in complex analytic geometry.
Abstract
We extend the notion of -sequence and Tjurina number of functions to the framework of Bruce-Roberts numbers, that is, to pairs formed by the germ at of a complex analytic variety and a finitely -determined analytic function germ . We analyze some fundamental properties of these numbers.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
