Graded Cohen-Macaulay rings of wild Cohen-Macaulay type
Yuriy A. Drozd, Oleksii Tovpyha
TL;DR
This paper establishes conditions under which standard graded Cohen-Macaulay rings, including hypersurfaces and complete intersections, exhibit wild Cohen-Macaulay representation type, highlighting complex module category behaviors.
Contribution
It provides new sufficient conditions for Cohen-Macaulay wildness in graded rings, extending understanding to hypersurfaces and complete intersections.
Findings
Conditions for Cohen-Macaulay wildness established
Applied to hypersurfaces and complete intersections
Highlights complexity of module categories in these rings
Abstract
We give suffcient conditions for a standard graded Cohen-Macaulay ring, or equivalently, an arithmetically Cohen-Macaulay projective variety, to be Cohen-Macaulay wild in the sense of representation theory. In particular, these conditions are applied to hypersurfaces and complete intersections.
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