  We discuss the structure of one-loop counterterms for the two-dimensional
theory of gravitation in the covariant scheme and study the effect of quantum
reparametrizations. Some of them are shown to be equivalent to the introduction
of $2+\epsilon$-dimensional terms into the initially 2-dimensional theory. We
also argue that the $\beta$-function for the Einstein constant has a
non-trivial ultraviolet stable point beyond two dimensions.
