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Geometry of varieties for graded maximal Cohen–Macaulay modules

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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… Click to show full 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.

Keywords: graded maximal; maximal cohen; cohen macaulay; geometry

Journal Title: manuscripta mathematica
Year Published: 2021

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