极乘和积分依赖性

Pub Date : 2024-07-19 DOI:10.1093/imrn/rnae163

Yairon Cid-Ruiz

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引用次数: 0

摘要

我们根据克莱曼和索鲁普的极性乘数的一般概念，为有级代数扩展的积分性和双性提供了新的标准。作为一个应用，我们从某些混合布赫斯鲍姆-里姆乘法的角度，得到了一个模块是另一个模块的还原的新标准。此外，我们还证明了几个关于极性乘数的技术结果。

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Polar Multiplicities and Integral Dependence

We provide new criteria for the integrality and birationality of an extension of graded algebras in terms of the general notion of polar multiplicities of Kleiman and Thorup. As an application, we obtain a new criterion for when a module is a reduction of another in terms of certain mixed Buchsbaum–Rim multiplicities. Furthermore, we prove several technical results regarding polar multiplicities.

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