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

Naoya Hiramatsu; Ryo Takahashi; Yuji Yoshino

doi:10.1016/j.jalgebra.2018.12.031

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

Naoya Hiramatsu, Ryo Takahashi, Yuji Yoshino

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	374-389
Number of pages	16
Journal	Journal of Algebra
Volume	525
DOIs	https://doi.org/10.1016/j.jalgebra.2018.12.031
Publication status	Published - May 1 2019

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

Access to Document

10.1016/j.jalgebra.2018.12.031

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 journal › Article › peer-review

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KW - Knörrer's periodicity

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