$F$-Volumes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910382177648640 |
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| author | Badilla-Céspedes, Wágner Núñez-Betancourt, Luis Rodríguez-Villalobos, Sandra |
| author_facet | Badilla-Céspedes, Wágner Núñez-Betancourt, Luis Rodríguez-Villalobos, Sandra |
| contents | In this work we define a numerical invariant called $F$-volume. This number extends the definition of $F$-threshold of a pair of ideals $I$ and $J$, $c^J(I)$ to a sequence of ideals $J$, $I_1, \ldots, I_t$. We obtain several properties that emulate those of the $F$-threshold. In particular, the $F$-volume detects $F$-pure complete intersections. In addition, we relate this invariant to the Hilbert-Kunz multiplicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_03710 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | $F$-Volumes Badilla-Céspedes, Wágner Núñez-Betancourt, Luis Rodríguez-Villalobos, Sandra Commutative Algebra 13D40, 13A35, 14B05 In this work we define a numerical invariant called $F$-volume. This number extends the definition of $F$-threshold of a pair of ideals $I$ and $J$, $c^J(I)$ to a sequence of ideals $J$, $I_1, \ldots, I_t$. We obtain several properties that emulate those of the $F$-threshold. In particular, the $F$-volume detects $F$-pure complete intersections. In addition, we relate this invariant to the Hilbert-Kunz multiplicity. |
| title | $F$-Volumes |
| topic | Commutative Algebra 13D40, 13A35, 14B05 |
| url | https://arxiv.org/abs/1912.03710 |