Derived jet and arc spaces coincide with classical ones for smooth or lci log canonical singularities, produce higher homotopy invariants for more singular spaces, and enable unified proofs of arc-space results including an extension of Reguera's curve selection lemma to non-perfect fields.
[dFD20] ,Differentials on the arc space, Duke Math
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Derived jet and arc spaces
Derived jet and arc spaces coincide with classical ones for smooth or lci log canonical singularities, produce higher homotopy invariants for more singular spaces, and enable unified proofs of arc-space results including an extension of Reguera's curve selection lemma to non-perfect fields.