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We calculate the Krull--Gabriel dimension of the functor category of the(stable) category of maximal Cohen--Macaulay modules over hypersurfaces ofcountable Cohen--Macaulay representation type. We show that the Krull--Gabrieldimension is $0$ if the hypersurface is of finite Cohen--Macaulayrepresentation type and that is $2$ if the hypersurface is of countable but notfinite Cohen--Macaulay representation type.

Krull--Gabriel dimension of Cohen--Macaulay modules over hypersurfaces of countable Cohen--Macaulay representation type