Regularity and multiplicity of Veronese type algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917225364979712 |
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| author | Lin, Kuei-Nuan Shen, Yi-Huang |
| author_facet | Lin, Kuei-Nuan Shen, Yi-Huang |
| contents | In this paper, we study the algebra of Veronese type. We show that the presentation ideal of this algebra has an initial ideal whose Alexander dual has linear quotients. As an application, we explicitly obtain the Castelnuovo-Mumford regularity of the Veronese type algebra. Furthermore, we give an effective upper bound on the multiplicity of this algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01859 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Regularity and multiplicity of Veronese type algebras Lin, Kuei-Nuan Shen, Yi-Huang Commutative Algebra Combinatorics 05E40, 13F55, 13F65 (Primary), 14M25, 13H15, 13D02 (Secondary) In this paper, we study the algebra of Veronese type. We show that the presentation ideal of this algebra has an initial ideal whose Alexander dual has linear quotients. As an application, we explicitly obtain the Castelnuovo-Mumford regularity of the Veronese type algebra. Furthermore, we give an effective upper bound on the multiplicity of this algebra. |
| title | Regularity and multiplicity of Veronese type algebras |
| topic | Commutative Algebra Combinatorics 05E40, 13F55, 13F65 (Primary), 14M25, 13H15, 13D02 (Secondary) |
| url | https://arxiv.org/abs/2305.01859 |