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 |
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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 |
Keywords
- Auslander-Reiten Sequence
- Cohen-Macaulay module
- Degeneration
- Finite representation type
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics