Log-regularity of monoid algebras
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918532909891584 |
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| author | Ishiro, Shinnosuke |
| author_facet | Ishiro, Shinnosuke |
| contents | Local log-regular rings are Cohen-Macaulay local domains introduced by Kazuya Kato to expand the theory of toric varieties without a base. In this note, we show that local rings of monoid algebras over regular rings are log-regular. As a corollary, we show that monoid algebras are log-regular rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01191 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Log-regularity of monoid algebras Ishiro, Shinnosuke Commutative Algebra Algebraic Geometry Number Theory 13B30, 13H10, 14A21, 20M14 Local log-regular rings are Cohen-Macaulay local domains introduced by Kazuya Kato to expand the theory of toric varieties without a base. In this note, we show that local rings of monoid algebras over regular rings are log-regular. As a corollary, we show that monoid algebras are log-regular rings. |
| title | Log-regularity of monoid algebras |
| topic | Commutative Algebra Algebraic Geometry Number Theory 13B30, 13H10, 14A21, 20M14 |
| url | https://arxiv.org/abs/2509.01191 |