can anyone give me a precise statement of the "closure of modules" theorem in several complex variables? it says something like: a criterion for the germ of a function to belong to the stalk of an ideal at a point, is that the function can be uniformly approximated on neighborhoods of that point by functions whose stalks do lie in the ideal. I have forgotten my gunning and rossi.(adsbygoogle = window.adsbygoogle || []).push({});

so it is something like, if for every e>0 there is a nbhd V of p and a function in the ideal I which is uniformly closer to f than e on V, then f belongs to I.

????? And are there some bounds on the coefficients of the generators of the ideal in terms of given bounds on the coefficients of the approximating functions????

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# Closure of modules theorem

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