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.

中文翻译：

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梯度最大Cohen–Macaulay模块的变种几何

我们研究了Dao和Shipman引入的各种梯度最大Cohen–Macaulay模块。本文的主要结果断言，在梯度可数表示类型的Cohen-Macaulay代数上，具有固定Hilbert级数的梯度最大Cohen-Macaulay模只有有限数量的同构类。