عنوان
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The divisor class group of a discrete polymatroid
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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toric rings, discrete polymatroids, class group, canonical module
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چکیده
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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 just the toric ring of the independence polytope of the polymatroid. This case is studied deeply for several classes of polymatroids.
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پژوهشگران
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یورگن هرزوگ (نفر اول)، تاکایوکی هیبی (نفر دوم)، سمیه مرادی (نفر سوم)، عایشه قریشی (نفر چهارم)
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