有理三奇点双民族模型的内嵌纳什问题

IF 0.4 Q4 MATHEMATICS

Journal of Singularities Pub Date : 2020-05-30 DOI:10.5427/jsing.2020.22u

Bucsra Karadeniz, H. Mourtada, Camille Pl'enat, M. Tosun

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引用次数: 4

摘要

我们考虑是否可以从以奇异轨迹$X.$为中心的($X$)射流空间的不可约分量的数据中构造奇异变异$X\subset \textbf{A}^n$的嵌入分辨率的问题。我们表明，一般情况下，答案是否定的，而对于一些有理三曲面奇点的二元模型，答案是肯定的。

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The embedded Nash problem of birational models of rational triple singularities

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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来源期刊

Journal of Singularities MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量