EXAMPLES OF DEGENERATIONS OF COHEN-MACAULAY MODULES

Naoya Hiramatsu
Yuji Yoshino

We study the degeneration problem for maximal Cohen-Macaulay modules and give several examples of such degenerations. It is proved that such degenerations over an even-dimensional simple hypersurface singularity of type (A(n)) are given by extensions. We also prove that all extended degenerations of maximal Cohen-Macaulay modules over a Cohen-Macaulay complete local algebra of finite representation type are obtained by iteration of extended degenerations of Auslander-Reiten sequences.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

AMER MATHEMATICAL SOC

141

7

2275

2288

10.1090/S0002-9939-2013-11523-6

https://doi.org/10.1090/S0002-9939-2013-11523-6
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201302207693714506
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