Mixed Bruce–Roberts numbers
We extend the notions of μ*-sequences and Tjurina numbers 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 ⊆ ℂ n and a finitely ${\mathcal R}(X)$ -determined analytic function germ f : (ℂ n , 0) → (ℂ, 0). We analyze som...
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Veröffentlicht in: | Proceedings of the Edinburgh Mathematical Society 2020-05, Vol.63 (2), p.456-474 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We extend the notions of μ*-sequences and Tjurina numbers 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
⊆ ℂ
n
and a finitely
${\mathcal R}(X)$
-determined analytic function germ
f
: (ℂ
n
, 0) → (ℂ, 0). We analyze some fundamental properties of these numbers. |
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ISSN: | 0013-0915 1464-3839 |
DOI: | 10.1017/S0013091519000543 |