Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913492038057984 |
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| author | Hatasa, Yuta Kowaki, Nobukazu Matsushita, Koji |
| author_facet | Hatasa, Yuta Kowaki, Nobukazu Matsushita, Koji |
| contents | In this paper, we study edge rings and their $h$-polynomials. We investigate when edge rings are pseudo-Gorenstein, which means that the leading coefficients of the $h$-polynomials of edge rings are equal to $1$. Moreover, we compute the $h$-polynomials of a special family of edge rings and show that some of them are almost Gorenstein. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings Hatasa, Yuta Kowaki, Nobukazu Matsushita, Koji Commutative Algebra Combinatorics Primary 13D40, Secondary 13F55, 13F65, 05C25 In this paper, we study edge rings and their $h$-polynomials. We investigate when edge rings are pseudo-Gorenstein, which means that the leading coefficients of the $h$-polynomials of edge rings are equal to $1$. Moreover, we compute the $h$-polynomials of a special family of edge rings and show that some of them are almost Gorenstein. |
| title | Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings |
| topic | Commutative Algebra Combinatorics Primary 13D40, Secondary 13F55, 13F65, 05C25 |
| url | https://arxiv.org/abs/2409.03176 |