Fedder-type criterion for quasi-$F^e$-splitting and quasi-$F$-regularity
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_ | 1866918126947401728 |
|---|---|
| author | Yoshikawa, Shou |
| author_facet | Yoshikawa, Shou |
| contents | We study quasi-$F^e$-split and quasi-$F$-regular singularities, which generalize Yobuko's quasi-$F$-splitting. We establish Fedder type criteria that characterize these properties for hypersurfaces. These criteria offer explicit tools for computation and verification. As an application, we construct a counterexample to the inversion of adjunction for quasi-$F$-regularity and compute the quasi-$F$-split threshold of the cone over the ordinary cusp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09015 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fedder-type criterion for quasi-$F^e$-splitting and quasi-$F$-regularity Yoshikawa, Shou Algebraic Geometry Commutative Algebra We study quasi-$F^e$-split and quasi-$F$-regular singularities, which generalize Yobuko's quasi-$F$-splitting. We establish Fedder type criteria that characterize these properties for hypersurfaces. These criteria offer explicit tools for computation and verification. As an application, we construct a counterexample to the inversion of adjunction for quasi-$F$-regularity and compute the quasi-$F$-split threshold of the cone over the ordinary cusp. |
| title | Fedder-type criterion for quasi-$F^e$-splitting and quasi-$F$-regularity |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2505.09015 |