1 M ay 2 00 9 ON THE BRIANÇON - SKODA THEOREM ON A SINGULAR VARIETY
نویسنده
چکیده
Let Z be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform BriançonSkoda theorem for the local ring OZ ; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.
منابع مشابه
An analytic approach to Briançon-Skoda type theorems
The Briançon-Skoda theorem can be seen as an effective version of the Hilbert Nullstellensatz and gives a connection between size conditions on holomorphic functions and ideal membership. The size conditions are captured algebraically by the notion of integral closure of ideals. Many techniques have been applied to prove the Briançon-Skoda theorem and variations of it. The first proof by Brianç...
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Let Z be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform BriançonSkoda theorem for the local ring OZ ; a result which is previously proved by Huneke by algebraic methods. For ideals with few generators we also get some sharper results.
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