On the behavior of $F$-thresholds with respect to the fibers of blow-ups and $F$-rationality
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917106244648960 |
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| author | FakhriVaighan, Ghazaleh |
| author_facet | FakhriVaighan, Ghazaleh |
| contents | We establish a general inequality comparing the $F$-thresholds of a local ring and its associated graded ring. As an application, we deduce that the $F$-rationality of the graded ring descends to the local ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04625 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the behavior of $F$-thresholds with respect to the fibers of blow-ups and $F$-rationality FakhriVaighan, Ghazaleh Commutative Algebra Algebraic Geometry 13A30, 13A35, 14B05 We establish a general inequality comparing the $F$-thresholds of a local ring and its associated graded ring. As an application, we deduce that the $F$-rationality of the graded ring descends to the local ring. |
| title | On the behavior of $F$-thresholds with respect to the fibers of blow-ups and $F$-rationality |
| topic | Commutative Algebra Algebraic Geometry 13A30, 13A35, 14B05 |
| url | https://arxiv.org/abs/2511.04625 |