Arc spaces of cA₁ singularities
Kollár, János
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.