论文标题

分级最大cohen-macaulay模块的几何形状

Geometry of varieties for graded maximal Cohen--Macaulay modules

论文作者

Hiramatsu, Naoya

论文摘要

我们研究了Dao和Shipman引入的最大最大Cohen-Macaulay模块的各种。本文的主要结果表明,在cohen--macaulay-macaulay代数上,分级的最大cohen--macaulay模块的分级最大cohen--macaulay模块只有有限数量的同构类别。

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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