English

Geometry of varieties for graded maximal Cohen--Macaulay modules

Commutative Algebra 2020-10-27 v2 Representation Theory

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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Cite

@article{arxiv.2002.11294,
  title  = {Geometry of varieties for graded maximal Cohen--Macaulay modules},
  author = {Naoya Hiramatsu},
  journal= {arXiv preprint arXiv:2002.11294},
  year   = {2020}
}

Comments

7 pages. The title is changed

R2 v1 2026-06-23T13:54:06.382Z