  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.
