A $t$-structure on the $\infty$-category of mixed graded modules
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913760188301312 |
|---|---|
| author | Pavia, Emanuele |
| author_facet | Pavia, Emanuele |
| contents | In this work, we shall study in a purely model-independent fashion the $\infty$-category of mixed graded modules over a ring of characteristic $0$, and collect some basic results about its main formal properties. Finally, we shall endow such $\infty$-category with a both left and right complete accessible $t$-structure, showing how this identifies the $\infty$-category of mixed graded modules with the left completion of the Beilinson $t$-structure on the \infinity-category of filtered modules. Most of the content of this paper is already available in literature, and it serves mainly as a reference for future work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_11994 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A $t$-structure on the $\infty$-category of mixed graded modules Pavia, Emanuele Category Theory Algebraic Geometry K-Theory and Homology In this work, we shall study in a purely model-independent fashion the $\infty$-category of mixed graded modules over a ring of characteristic $0$, and collect some basic results about its main formal properties. Finally, we shall endow such $\infty$-category with a both left and right complete accessible $t$-structure, showing how this identifies the $\infty$-category of mixed graded modules with the left completion of the Beilinson $t$-structure on the \infinity-category of filtered modules. Most of the content of this paper is already available in literature, and it serves mainly as a reference for future work. |
| title | A $t$-structure on the $\infty$-category of mixed graded modules |
| topic | Category Theory Algebraic Geometry K-Theory and Homology |
| url | https://arxiv.org/abs/2207.11994 |