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arXiv · 2302.12475

The divisor class group of a discrete polymatroid

Jürgen Herzog·Takayuki Hibi·Somayeh Moradi·Ayesha Asloob Qureshi
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Abstract

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.

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Jürgen Herzog, Takayuki Hibi, Somayeh Moradi, Ayesha Asloob Qureshi. 2023-02-24. The divisor class group of a discrete polymatroid. https://arxiv.org/abs/2302.12475

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