Dual $F$-signatures of Veronese subrings and Segre products of polynomial rings
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910431616958464 |
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| author | Matsushita, Koji |
| author_facet | Matsushita, Koji |
| contents | In this paper, we compute the dual $F$-signatures of certain toric rings by using combinatorial techniques. Specifically, we calculate the dual $F$-signatures of Veronese subrings of polynomial rings. Moreover, we give an upper bound for the dual $F$-signatures of Segre products of polynomial rings and show that this upper bound is attained in some cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00994 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dual $F$-signatures of Veronese subrings and Segre products of polynomial rings Matsushita, Koji Commutative Algebra Combinatorics Primary 13A35, 05E40, Secondary 52B20, 14M25 In this paper, we compute the dual $F$-signatures of certain toric rings by using combinatorial techniques. Specifically, we calculate the dual $F$-signatures of Veronese subrings of polynomial rings. Moreover, we give an upper bound for the dual $F$-signatures of Segre products of polynomial rings and show that this upper bound is attained in some cases. |
| title | Dual $F$-signatures of Veronese subrings and Segre products of polynomial rings |
| topic | Commutative Algebra Combinatorics Primary 13A35, 05E40, Secondary 52B20, 14M25 |
| url | https://arxiv.org/abs/2405.00994 |