Krull--Gabriel dimension of Cohen--Macaulay modules over hypersurfaces of countable Cohen--Macaulay representation type
Abstract
We calculate the Krull--Gabriel dimension of the functor category of the (stable) category of maximal Cohen--Macaulay modules over hypersurfaces of countable Cohen--Macaulay representation type. We show that the Krull--Gabriel dimension is 0 if the hypersurface is of finite Cohen--Macaulay representation type and that is 2 if the hypersurface is of countable but not finite Cohen--Macaulay representation type.
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