146 citations · 286 across the 20 of their papers we have counts for
4 papers · 1 filter
Componentwise linear ideals with minimal or maximal Betti numbers
Juergen Herzog, Takayuki Hibi, Satoshi Murai +1
We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.
Standard graded vertex cover algebras, cycles and leaves
Juergen Herzog, Takayuki Hibi, Ngo Viet Trung +1
The aim of this paper is to characterize simplicial complexes which have standard graded vertex cover algebras. This property has several nice consequences for the squarefree monom…
Failure of tameness for local cohomology
Steven Dale Cutkosky, Juergen Herzog
We give an example that shows that not all local cohomology modules are tame in the sense of Brodmann and Hellus.
Local Duality for Bigraded Modules
Juergen Herzog, Ahad Rahimi
In this paper we study local cohomology of finitely generated bigraded modules over a standard bigraded ring with respect to the irrelevant bigraded ideals and establish a duality…