### Abstract

Original language | Undefined/Unknown |
---|---|

Journal | arXiv |

Publication status | Published - Feb 28 2018 |

### Keywords

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

### Cite this

*arXiv*.

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

Research output: Contribution to journal › Article

*arXiv*.

}

TY - JOUR

T1 - Degenerations over $(A_\infty)$-singularities and construction of degenerations over commutative rings

AU - Hiramatsu, Naoya

AU - Takahashi, Ryo

AU - Yoshino, Yuji

N1 - 10 pages

PY - 2018/2/28

Y1 - 2018/2/28

N2 - 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.

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.

KW - math.AC

KW - math.RT

KW - 13C14, 14D06, 16G60

M3 - Article

JO - arXiv

JF - arXiv

ER -