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math.AC2023
The eventual shape of the Betti table of
Antonino Ficarra, Jürgen Herzog, Somayeh Moradi
Let be the polynomial ring over a field in a finite set of variables, and let be the graded maximal ideal of . It is known that for a finitely generated…
math.AC2023
The divisor class group of a discrete polymatroid
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi +1
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…
math.AC2023
Toric rings attached to simplicial complexes
Jürgen Herzog, Somayeh Moradi, Ayesha Asloob Qureshi
We consider standard graded toric rings whose generators correspond to the faces of a simplicial complex . When is normal, it is shown that its divisor class group i…