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Geometry of varieties for graded maximal Cohen--Macaulay modules

Published 26 Feb 2020 in math.AC and math.RT | (2002.11294v2)

Abstract: We study a variety for graded maximal Cohen--Macaulay modules, which was introduced by Dao and Shipman. The main result of this paper asserts that there are only a finite number of isomorphism classes of graded maximal Cohen--Macaulay modules with fixed Hilbert series over Cohen--Macaulay algebras of graded countable representation type.

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