The Nash problem of arcs and the rational double point \(E_{6}\)
type: Item
instance of: scholarly article
title: The Nash problem of arcs and the rational double point \(E_{6}\)
zbMATH Open document ID: 1271.14006
author: Camille Plénat
author: M. Spivakovsky
published in: Kodai Mathematical Journal
publication date: 2012-05-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/1011.2426
full work available at URL: https://projecteuclid.org/euclid.kmj/1333027261
review text: 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.
reviewed by: Shihoko Ishii
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 6038725
zbMATH Keywords: arc space
zbMATH Keywords: rational double point
zbMATH Keywords: minimal resolution
MaRDI profile type: Publication
OpenAlex ID: W2006123302
arXiv ID: 1011.2426
DOI: 10.2996/KMJ/1333027261
description: scientific article; zbMATH DE number 6038725