A global Brianc con-Skoda-Huneke-Sznajdman theorem
Abstract
We prove a global effective membership result for polynomials on a non-reduced algebraic subvariety of N. It can be seen as a global version of a recent local result of Sznajdman, generalizing the Briancon-Skoda-Huneke theorem for the local ring of holomorphic functions at a point on a reduced analytic space.
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