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

Naoya Hiramatsu

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.

http://arxiv.org/abs/arXiv:2112.13504
http://arxiv.org/abs/2112.13504v2
http://arxiv.org/pdf/2112.13504v2