For terminal threefolds of type cA/r, Nash and essential valuations are completely described when r=1 or Q-factorial, with explicit counterexamples to the Nash problem constructed in the remaining cases.
de Fernex, The space of arcs of an algebraic variety , to be appear in Proc
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On the Nash problem for terminal threefolds of type $cA/r$
For terminal threefolds of type cA/r, Nash and essential valuations are completely described when r=1 or Q-factorial, with explicit counterexamples to the Nash problem constructed in the remaining cases.