论文标题

理性三重奇点的嵌入式纳什纳什问题

The embedded Nash problem of birational models of rational triple singularities

论文作者

Karadeniz, Buşra, Mourtada, Hussein, Plénat, Camille, Tosun, Meral

论文摘要

我们考虑一个问题是否可以从$ x \ subset \ subset \ textbf {a}^n $中构建嵌入的分辨率,从$ x的奇异界面的奇异所在地的不可约组件($ x $)的不可约组件的数据中。

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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