  A twisted commutative algebra is (for us) a commutative $\mathbf{Q}$-algebra
equipped with an action of the infinite general linear group. In such algebras
the "$\mathbf{GL}$-prime" ideals assume the duties fulfilled by prime ideals in
ordinary commutative algebra, and so it is crucial to understand them.
Unfortunately, distinct $\mathbf{GL}$-primes can have the same radical, which
obstructs one from studying them geometrically. We show that this problem can
be eliminated by working with super vector spaces: doing so provides enough
geometry to distinguish $\mathbf{GL}$-primes. This yields an effective method
for analyzing $\mathbf{GL}$-primes.
