  We study the ring theory of the multiparameter deformations of the quantum
Schubert cell algebras obtained from 2-cocycle twists. This is a large family,
which extends the Artin-Schelter-Tate algebras of twisted quantum matrices. We
classify set theoretically the spectra of all such multiparameter quantum
Schubert cell algebras, construct each of their prime ideals by contracting
from explicit normal localizations, and prove formulas for the dimensions of
their Goodearl-Letzter strata for base fields of arbitrary characteristic and
all deformation parameters that are not roots of unity. Furthermore, we prove
that the spectra of these algebras are normally separated and that all such
algebras are catenary.
