146 citations · 234 across the 14 of their papers we have counts for
4 papers · 1 filter
Groebner bases and regularity of Rees algebras
Juergen Herzog, Dorin Popescu, Ngo Viet Trung
In this paper we study homological properties of the Rees ring R of the graded maximal ideal of a standard graded k-algebra A. In particular we are interested the comparison of the…
Asymptotic linear bounds for the Castelnuovo-Mumford regularity
Juergen Herzog, Le Tuan Hoa, Ngo Viet Trung
We prove asymptotic linear bounds for the Castelnuovo-Mumford regularity of certain filtrations of homogeneous ideals whose Rees algebras need not to be Noetherian.
Sequentially Cohen-Macaulay modules and local cohomology
Juergen Herzog, Enrico Sbarra
The main result of the paper states that for a graded ideal I in a polynomial ring R over a field of characteristic 0, the Hilbert functions of the local cohomology modules of R/I…
Resolutions by mapping cones
Juergen Herzog, Yukihide Takayama
In this paper we study resolutions which arise as iterated mapping cones.