# Degenerations over $(A_\infty)$-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 ($A_\infty$). We also provide a method to construct degenerations of finitely generated modules over commutative rings.
Original language Undefined/Unknown arXiv Published - Feb 28 2018

### Keywords

• math.AC
• math.RT
• 13C14, 14D06, 16G60

### Cite this

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

In: arXiv, 28.02.2018.

Research output: Contribution to journalArticle

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AU - Yoshino, Yuji

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

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