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The Nash problem of arcs and the rational double point \(E_{6}\) - MaRDI portal

The Nash problem of arcs and the rational double point \(E_{6}\) (Q418268)

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scientific article; zbMATH DE number 6038725
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The Nash problem of arcs and the rational double point \(E_{6}\)
scientific article; zbMATH DE number 6038725

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    The Nash problem of arcs and the rational double point \(E_{6}\) (English)
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    28 May 2012
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    This paper gives the affirmative answer to the Nash problem for \(E_6\) singularity on an surface. Though the result of this paper is contained in the recent result of \textit{J. F. Bobadilla} and \textit{M. P. Pereira} [Ann. Math. (2) 176, No. 3, 2003--2029 (2012; Zbl 1264.14049)] who proved the affirmative answer to the Nash problem for surfaces by topological method, the authors result makes sense, because their proof is algebraic.
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    arc space
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    rational double point
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    minimal resolution
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