Degenerations over (A )-singularities and construction of degenerations over commutative rings

Naoya Hiramatsu, Ryo Takahashi, Yuji Yoshino

Research output: Contribution to journalArticle

Abstract

We give a necessary condition of degeneration via matrix representations, and consider degenerations of indecomposable Cohen–Macaulay modules over hypersurface singularities of type (A ). We also provide a method to construct degenerations of finitely generated modules over commutative rings.

Original languageEnglish
Pages (from-to)374-389
Number of pages16
JournalJournal of Algebra
Volume525
DOIs
Publication statusPublished - May 1 2019

Fingerprint

Degeneration
Commutative Ring
Singularity
Module
Matrix Representation
Finitely Generated
Hypersurface
Necessary Conditions

Keywords

  • (Maximal) Cohen–Macaulay module
  • Countable Cohen–Macaulay representation type
  • Degeneration of modules
  • Hypersurface singularity of type (A )
  • Knörrer's periodicity

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Degenerations over (A )-singularities and construction of degenerations over commutative rings . / Hiramatsu, Naoya; Takahashi, Ryo; Yoshino, Yuji.

In: Journal of Algebra, Vol. 525, 01.05.2019, p. 374-389.

Research output: Contribution to journalArticle

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