BCM-thresholds of hypersurfaces
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910406071549952 |
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| author | Rodríguez-Villalobos, Sandra |
| author_facet | Rodríguez-Villalobos, Sandra |
| contents | In this paper, we use big Cohen-Macaulay algebras to define a characteristic free analog of the $F$-thresholds, which we call BCM-thresholds, in the case of principal ideals. We prove that, similarly to the case of the $F$-thresholds, the set of BCM-thresholds and the set of BCM-jumping numbers agree. We also relate some BCM-thresholds to splittings of maps from the ring to a big Cohen-Macaulay algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07438 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | BCM-thresholds of hypersurfaces Rodríguez-Villalobos, Sandra Commutative Algebra 13A35, 14B05, 14J17, 14F18, 13H10 In this paper, we use big Cohen-Macaulay algebras to define a characteristic free analog of the $F$-thresholds, which we call BCM-thresholds, in the case of principal ideals. We prove that, similarly to the case of the $F$-thresholds, the set of BCM-thresholds and the set of BCM-jumping numbers agree. We also relate some BCM-thresholds to splittings of maps from the ring to a big Cohen-Macaulay algebra. |
| title | BCM-thresholds of hypersurfaces |
| topic | Commutative Algebra 13A35, 14B05, 14J17, 14F18, 13H10 |
| url | https://arxiv.org/abs/2404.07438 |