Varieties with polynomially many models, I
Volume 170 / 2001
Fundamenta Mathematicae 170 (2001), 53-68 MSC: Primary 08A05; Secondary 03C13, 16D70. DOI: 10.4064/fm170-1-3
A characterization of locally finite congruence modular varieties with the number of at most $k$-generated models being bounded from above by a polynomial in $k$ is given. These are exactly the varieties polynomially equivalent to the varieties of unitary modules over a finite ring of finite representation type.