Abstract
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 (An) 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.
| Original language | English |
|---|---|
| Pages (from-to) | 2275-2288 |
| Number of pages | 14 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 141 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2013 |
Fingerprint
Keywords
- Auslander-Reiten Sequence
- Cohen-Macaulay module
- Degeneration
- Finite representation type
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Hiramatsu, N., & Yoshino, Y. (2013). Examples of degenerations of Cohen-Macaulay modules. Proceedings of the American Mathematical Society, 141(7), 2275-2288. https://doi.org/10.1090/S0002-9939-2013-11523-6