Preservation for generation along the structure morphism of coherent algebras over a scheme
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908281761431552 |
|---|---|
| author | Bhaduri, Anirban Dey, Souvik Lank, Pat |
| author_facet | Bhaduri, Anirban Dey, Souvik Lank, Pat |
| contents | This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with a noncommutative coherent algebra on it. This is an extension of a classical result of Rouquier to the noncommutative context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02840 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Preservation for generation along the structure morphism of coherent algebras over a scheme Bhaduri, Anirban Dey, Souvik Lank, Pat Algebraic Geometry Commutative Algebra Rings and Algebras Representation Theory 14F08 (primary), 14A22, 13D09, 16S38, 16E35, 14A30 This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with a noncommutative coherent algebra on it. This is an extension of a classical result of Rouquier to the noncommutative context. |
| title | Preservation for generation along the structure morphism of coherent algebras over a scheme |
| topic | Algebraic Geometry Commutative Algebra Rings and Algebras Representation Theory 14F08 (primary), 14A22, 13D09, 16S38, 16E35, 14A30 |
| url | https://arxiv.org/abs/2312.02840 |