Some Formulas for Epsilon Multiplicity in Local Rings
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910845046358016 |
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| author | Landsittel, Stephen |
| author_facet | Landsittel, Stephen |
| contents | We prove that the epsilon multiplicity exists in a Noetherian local ring whenever the nildradical of the completion of R has nonmaximal dimension. We also extend the volume equals multiplicity formula for the epsilon multiplicity to this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10895 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some Formulas for Epsilon Multiplicity in Local Rings Landsittel, Stephen Commutative Algebra 13H15 We prove that the epsilon multiplicity exists in a Noetherian local ring whenever the nildradical of the completion of R has nonmaximal dimension. We also extend the volume equals multiplicity formula for the epsilon multiplicity to this setting. |
| title | Some Formulas for Epsilon Multiplicity in Local Rings |
| topic | Commutative Algebra 13H15 |
| url | https://arxiv.org/abs/2502.10895 |