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

2018/02/28 by Hiramatsu, Naoya, Takahashi, Ryo, Yoshino, Yuji
#13C14 #14D06 #16G60 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1802.10277

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.

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