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The Nash problem of arcs and its solution

Abstract

7 pagesHistorical overview of Nash Problem of arcs in the EMS NewsletterThe goal of this paper is to give a historical overview of the Nash Problem of arcs in arbitrary dimension, as well as its a rmative solution in dimension two by J. Fernandez de Bobadilla and M. Pe Pereira and a negative solution in higher dimensions by T. de Fernex, S. Ishii and J. Koll ar. This problem was stated by J. Nash around 1963 and has been an important subject of research in singularity theory

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