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arXiv 2310.03216math.AGmath.CV
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关于环面奇点的Lipschitz饱和

On the Lipschitz saturation of toric singularities

Daniel Duarte, Arturo E. Giles Flores

AI总结:

本文研究环面奇点芽的Lipschitz饱和,证明具有光滑正规化的环面奇点芽的Lipschitz饱和仍为环面奇点,并展示了如何从定义半群计算特定环面奇点族的Lipschitz饱和。

摘要:

我们开始研究环面奇点芽的Lipschitz饱和。通过考察其相关的解析代数,我们证明若(X,0)是具有光滑正规化的环面奇点芽,则其Lipschitz饱和仍是环面的。最后,我们展示如何从定义它们的半群出发,计算某些环面奇点族的Lipschitz饱和。

英文摘要:

We begin the study of Lipschitz saturation for germs of toric singularities. By looking at their associated analytic algebras, we prove that if (X,0) is a germ of toric singularity with smooth normalization then its Lipschitz saturation is again toric. Finally we show how to calculate the Lipschitz saturation for some families of toric singularities starting from the semigroup that defines them.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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