We investigate the enhancement of the power spectra in models with multiple
scalar fields large enough to produce primordial black holes. We present
analytic solutions for the perturbations in the case of constant turns
without the need for an effective field theory for the first time and
clarify the role of the Hubble friction that has been overlooked
previously. For an arbitrary number of fields we derive the criteria that
can lead to an exponential amplification of the curvature perturbation on
subhorizon scales, while leaving the perturbations stable on superhorizon
scales. Finally, we apply our results on the three-field ultra-light
scenario and show how the presence of field-space torsion can yield
distinct observables compared to the two-field case.