A global Briançon-Skoda-Huneke-Sznajdman theorem
DOI:
https://doi.org/10.7146/math.scand.a-97253Abstract
We prove a global effective membership result for polynomials on a non-reduced algebraic subvariety of $\mathbb{C}^N$. It can be seen as a global version of a recent local result of Sznajdman, generalizing the Briançon-Skoda-Huneke theorem for the local ring of holomorphic functions at a point on a reduced analytic space.
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