Arc spaces of cA1 singularities
Abstract
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 x2+y2+z2+t5=0. Version 2: Several small corrections.
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