The gamma-construction and permanence properties of the (relative) $F$-rational signature
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913601397194752 |
|---|---|
| author | Lyu, Shiji |
| author_facet | Lyu, Shiji |
| contents | We study some permanence properties of the relative $F$-rational signature defined and studied by Smirnov--Tucker. We show that this invariant is compatible with the gamma-construction, and then derive other main results from the $F$-finite case established by Smirnov--Tucker. We also obtain limited results about the $F$-rational signature defined and studied by Hochster--Yao. We explore some features of the gamma-construction along the way, which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_08581 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The gamma-construction and permanence properties of the (relative) $F$-rational signature Lyu, Shiji Commutative Algebra We study some permanence properties of the relative $F$-rational signature defined and studied by Smirnov--Tucker. We show that this invariant is compatible with the gamma-construction, and then derive other main results from the $F$-finite case established by Smirnov--Tucker. We also obtain limited results about the $F$-rational signature defined and studied by Hochster--Yao. We explore some features of the gamma-construction along the way, which may be of independent interest. |
| title | The gamma-construction and permanence properties of the (relative) $F$-rational signature |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2210.08581 |