  In the present paper we continue our investigation of hypersurface support
for integrable Hopf algebras. We use hypersurface support to classify thick
(two-sided) ideals in the stable categories of representations for bosonized
quantum complete intersections, quantum Borels in type $A$, Drinfeld doubles of
height 1 Borels in finite characteristic, and rings of functions on finite
group schemes over a perfect field. We then identify the prime ideal spectra
for these stable categories. In the curious case of functions on a finite group
scheme $G$, the spectrum of the category is identified not with the spectrum of
cohomology, but with the quotient of the spectrum of cohomology by the adjoint
action of the subgroup of connected components $\pi_0(G)$ in $G$.
