65 citations · 613 across the 138 of their papers we have counts for
146 papers
The reduced divisor class group and the torsion number
Jürgen Herzog, Takayuki Hibi
The reduced divisor class group of a normal Cohen--Macaulay graded domain together with its torsion number is introduced. They are studied in detail especially for normal affine se…
Reflexive polytopes and discrete polymatroids
Jürgen Herzog, Takayuki Hibi
A classification of discrete polymatroids whose independence polytopes are reflexive will be presented.
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…
The minimal volume of a lattice polytope
Ichiro Sainose, Ginji Hamano, Tatsuo Emura +1
Let be a lattice polytope of dimension . Let denote the number of lattice points belonging to the boundary of and that t…
Behaviour of the normalized depth function
Antonino Ficarra, Jürgen Herzog, Takayuki Hibi
Let be a squarefree monomial ideal, a field. The th squarefree power of is the monomial ideal of generated by all squarefree…
Toric rings arising from vertex cover ideals
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi
We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to…