On F-pure thresholds and quasi-F-purity of hypersurfaces
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911186783567872 |
|---|---|
| author | Garzella, Jack J Jagathese, Vignesh |
| author_facet | Garzella, Jack J Jagathese, Vignesh |
| contents | We show that quasi-$F$-pure but not $F$-pure isolated quasi-homogeneous hypersurface singularities necessarily have $F$-pure threshold $1 - \frac{1}{p}$. This extends work of Bhatt and Singh beyond the Calabi-Yau case. We also classify the (quasi)-$F$-purity of Fermat hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06211 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On F-pure thresholds and quasi-F-purity of hypersurfaces Garzella, Jack J Jagathese, Vignesh Commutative Algebra Algebraic Geometry Number Theory 13A35, 14B05, 14G40 We show that quasi-$F$-pure but not $F$-pure isolated quasi-homogeneous hypersurface singularities necessarily have $F$-pure threshold $1 - \frac{1}{p}$. This extends work of Bhatt and Singh beyond the Calabi-Yau case. We also classify the (quasi)-$F$-purity of Fermat hypersurfaces. |
| title | On F-pure thresholds and quasi-F-purity of hypersurfaces |
| topic | Commutative Algebra Algebraic Geometry Number Theory 13A35, 14B05, 14G40 |
| url | https://arxiv.org/abs/2509.06211 |