Extremal F-thresholds in regular local rings
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908792322523136 |
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| author | Baily, Benjamin |
| author_facet | Baily, Benjamin |
| contents | Let $(R, \mathfrak{m})$ be a regular local ring of characteristic $p > 0$. Among all proper ideals $\mathfrak{a}\subseteq R$ with a fixed order of vanishing $\text{ord}_{\mathfrak{m}}(\mathfrak{a})$, we classify the ideals for which the $F$-threshold $\text{ft}^{\mathfrak{m}}(\mathfrak{a})$ is minimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19885 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extremal F-thresholds in regular local rings Baily, Benjamin Commutative Algebra Let $(R, \mathfrak{m})$ be a regular local ring of characteristic $p > 0$. Among all proper ideals $\mathfrak{a}\subseteq R$ with a fixed order of vanishing $\text{ord}_{\mathfrak{m}}(\mathfrak{a})$, we classify the ideals for which the $F$-threshold $\text{ft}^{\mathfrak{m}}(\mathfrak{a})$ is minimal. |
| title | Extremal F-thresholds in regular local rings |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2601.19885 |