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arXiv:1207.5036 [math.AG]AbstractReferencesReviewsResources

Arc spaces of cA_1 singularities

János Kollár

Published 2012-07-20, updated 2013-06-10Version 3

Let p be a singular point of a complex hypersurface whose tangent cone is a quadric of rank at least 3. We show that the space of arcs through p is irreducible. Using a method of de Fernex, this shows that the Nash problem has a negative answer for x^2+y^2+z^2+t^5=0. Version 2: Several small corrections.

Comments: The paper is entirely superseded by arXiv:1306.1208
Categories: math.AG
Subjects: 14E18, 14B05, 14J17, 14E15, 32S05
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