Epsilon multiplicity for Noetherian graded algebras release_bzdhcxag2jd6lkxmp73i7efxuu

by Suprajo Das

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The notion of epsilon multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of modules. It is important to know if it can be realized as a limit. In this article we show that the relative epsilon multiplicity of reduced Noetherian graded algebras over an excellent local ring exists as a limit. An important special case of a result of Cutkosky concerning epsilon multiplicity, is obtained as a corollary of our main theorem. We also develop the notion of mixed epsilon multiplicity for monomial ideals.
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Date   2021-09-27
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Language   en ?
arXiv  2011.13766v2
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