Examples of degenerations of Cohen-Macaulay modules

Naoya Hiramatsu, Yuji Yoshino

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study the degeneration problem for maximal Cohen-Macaulay modules and give several examples of such degenerations. It is proved that such degenerations over an even-dimensional simple hypersurface singularity of type (An) are given by extensions. We also prove that all extended degenerations of maximal Cohen-Macaulay modules over a Cohen-Macaulay complete local algebra of finite representation type are obtained by iteration of extended degenerations of Auslander-Reiten sequences.

Original languageEnglish
Pages (from-to)2275-2288
Number of pages14
JournalProceedings of the American Mathematical Society
Volume141
Issue number7
DOIs
Publication statusPublished - 2013

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Keywords

  • Auslander-Reiten Sequence
  • Cohen-Macaulay module
  • Degeneration
  • Finite representation type

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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