7 citations · 18 across the 3 of their papers we have counts for
4 papers · 1 filter
On non-standard graded algebras
G. Dalzotto, E. Sbarra
Positively graded algebras are fairly natural objects which are arduous to be studied. In this article we query quotients of non-standard graded polynomial rings with combinatorial…
Characteristic-free bounds for the Castelnuovo-Mumford regularity
Giulio Caviglia, Enrico Sbarra
We study bounds for the Castelnuovo-Mumford regularity of homogeneous ideals in a polynomial ring in terms of the number of variables and the degree of the generators. In particula…
Ideals with maximal local cohomology modules
Enrico Sbarra
We characterize the class of ideals of a polynomial ring such that the hilbert series of their graded local cohomology modules is maximal.
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…