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

Naoya Hiramatsu, Ryo Takahashi, Yuji Yoshino

Research output: Contribution to journalArticlepeer-review

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.