The divisor class group of a discrete polymatroid
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929377493647360 |
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| author | Herzog, Jürgen Hibi, Takayuki Moradi, Somayeh Qureshi, Ayesha Asloob |
| author_facet | Herzog, Jürgen Hibi, Takayuki Moradi, Somayeh Qureshi, Ayesha Asloob |
| contents | In this paper we introduce toric rings of multicomplexes. We show how to compute the divisor class group and the class of the canonical module when the toric ring is normal. In the special case that the multicomplex is a discrete polymatroid, its toric ring is studied deeply for several classes of polymatroids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_12475 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The divisor class group of a discrete polymatroid Herzog, Jürgen Hibi, Takayuki Moradi, Somayeh Qureshi, Ayesha Asloob Commutative Algebra 13A02, 13P10, 05E40 In this paper we introduce toric rings of multicomplexes. We show how to compute the divisor class group and the class of the canonical module when the toric ring is normal. In the special case that the multicomplex is a discrete polymatroid, its toric ring is studied deeply for several classes of polymatroids. |
| title | The divisor class group of a discrete polymatroid |
| topic | Commutative Algebra 13A02, 13P10, 05E40 |
| url | https://arxiv.org/abs/2302.12475 |