The curve selection conjecture for irreducible components of arc spaces
Let XXX be a complex space, let WWW be an irreducible component of Arc∘(X)\operatorname{Arc}^{\circ}(X)Arc∘(X) or ShArc(X)\operatorname{ShArc}(X)ShArc(X), and let [ϕ1],…,[ϕm][\phi_1],\dots,[\phi_m][ϕ1],…,[ϕm] be arcs in WWW. C…