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Keyword: Wage Inequality (10)	31 Mar 2025	Run
Keyword: Fibre-integrals (1)	31 Mar 2025	Run
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articleNo Access
POLES OF THE CURRENT |f|^2λ OVER AN ISOLATED SINGULARITY
- D. BARLET and
- H.-M. MAIRE
International Journal of Mathematics01 Jul 2000
Preview Abstract
Let (X, 0) be the germ of a normal space of dimension n+1 with an isolated singularity at 0 and let f be a germ of holomorphic function with an isolated regularity at 0. We prove that the meromorphic extension of the current
has a pole of order k at λ=-m-r for m∈ℕ large enough and r∈[0, 1[ if, and only if, e^-2iπr is an eigenvalue with nilpotency order k of the monodromy of f acting on Hⁿ(F)/J, where F is the Milnor fibre of f and J is the image of the restriction map Hⁿ(X\{0})→Hⁿ(F).

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