Higher-dimensional module factorizations and complete intersections
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910856769437696 |
|---|---|
| author | Chen, Xiao-Wu |
| author_facet | Chen, Xiao-Wu |
| contents | We introduce higher-dimensional module factorizations associated to a regular sequence. They include higher-dimensional matrix factorizations, which are commutative cubes consisting of free modules with edges being classical matrix factorizations. We characterize the stable category of maximal Cohen-Macaulay modules over a complete intersection via higher-dimensional matrix factorizations over the corresponding regular local ring. The result generalizes to noncommutative rings, including quantum complete intersections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07483 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-dimensional module factorizations and complete intersections Chen, Xiao-Wu Rings and Algebras Commutative Algebra Representation Theory We introduce higher-dimensional module factorizations associated to a regular sequence. They include higher-dimensional matrix factorizations, which are commutative cubes consisting of free modules with edges being classical matrix factorizations. We characterize the stable category of maximal Cohen-Macaulay modules over a complete intersection via higher-dimensional matrix factorizations over the corresponding regular local ring. The result generalizes to noncommutative rings, including quantum complete intersections. |
| title | Higher-dimensional module factorizations and complete intersections |
| topic | Rings and Algebras Commutative Algebra Representation Theory |
| url | https://arxiv.org/abs/2502.07483 |