  We study 2d $\mathcal{N}=(2,2)$ quiver gauge theories without flavor nodes.
There is a special class of quivers whose gauge group ranks stay positive in
any duality frame. We illustrate this with the Abelian Kronecker quiver and the
Abelian Markov quiver as the simplest examples. In the geometric phase, they
engineer an infinite sequence of projective spaces and hypersurfaces in
Calabi-Yau spaces, respectively. We show that the Markov quiver provides an
Abelianization of SU(3) SQCD. Turning on the FI parameters and the $\theta$
angles for the Abelian quiver effectively deform SQCD by such parameters. For
an Abelian necklace quiver corresponding to SU($k$) SQCD, we find evidence for
singular loci supporting non-compact Coulomb branches in the K\"ahler moduli
space.
