Note on length and multiplicity of modules over two-dimensional regular local rings
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912638302158848 |
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| author | Hayasaka, Futoshi Kodiyalam, Vijay |
| author_facet | Hayasaka, Futoshi Kodiyalam, Vijay |
| contents | We give lower and upper bounds on the Buchsbaum-Rim multiplicity of finitely generated torsion-free modules over two-dimensional regular local rings, and conditions for them to attain the bounds. As consequences, we have formulae on the multiplicity of integrally closed modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07779 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on length and multiplicity of modules over two-dimensional regular local rings Hayasaka, Futoshi Kodiyalam, Vijay Commutative Algebra 13B22, 13H05 We give lower and upper bounds on the Buchsbaum-Rim multiplicity of finitely generated torsion-free modules over two-dimensional regular local rings, and conditions for them to attain the bounds. As consequences, we have formulae on the multiplicity of integrally closed modules. |
| title | Note on length and multiplicity of modules over two-dimensional regular local rings |
| topic | Commutative Algebra 13B22, 13H05 |
| url | https://arxiv.org/abs/2510.07779 |