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arXiv 2302.12475math.AC
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离散多面拟阵的除子类群

The divisor class group of a discrete polymatroid

Jürgen Herzog, Takayuki Hibi, Somayeh Moradi, Ayesha Asloob Qureshi

AI总结:

本文研究离散多面拟阵的环面环,给出正规情形下除子类群与典范模类的计算方法,并对多类多面拟阵进行深入分析。

摘要:

本文引入多重复形的环面环。当环面环正规时,我们展示如何计算除子类群和典范模的类。在多重复形为离散多面拟阵的特殊情形下,针对若干类多面拟阵对其环面环进行了深入研究。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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