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arXiv 2006.00329math.AG
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有理三奇点双有理模型的嵌入Nash问题

The embedded Nash problem of birational models of rational triple singularities

Buşra Karadeniz, Hussein Mourtada, Camille Plénat, Meral Tosun

摘要:

我们考虑的问题是否可以构建一个嵌入式解决方案的奇异品种$X\subset \textbf{A}^n$的奇异性从数据的不可约组件的空间的射流($X$)集中在奇异轨迹的$X.$我们表明,答案是否定的,一般来说,它是肯定的一些双有理模型的合理三重曲面奇点。

英文摘要:

We consider the question whether one can construct an embedded resolution of singularities of a singular variety $X\subset \textbf{A}^n$ from the data of the irreducible components of the spaces of jets (of $X$) centered at the singular locus of $X.$ We show that the answer is no in general and that it is yes for some birational models of rational triple surface singularities.

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