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arXiv · 1802.10277

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

Naoya Hiramatsu·Ryo Takahashi·Yuji Yoshino
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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.

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Naoya Hiramatsu, Ryo Takahashi, Yuji Yoshino. 2018-02-28. Degenerations over $(A_\infty)$-singularities and construction of degenerations over commutative rings. https://arxiv.org/abs/1802.10277

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