44 research outputs found
On the regularity of local cohomology of bigraded algebras
The Hilbert functions and the regularity of the graded components of local
cohomology of a bigraded algebra are considered. Explicit bounds for these
invariants are obtained for bigraded hypersurface rings
Tameness of Local cohomology of monomial ideals with respect to monomial prime ideals
In this paper we consider the local cohomology of monomial ideals with
respect to monomial prime ideals and show that all these local cohomology
modules are tame
On the structure of sequentially Cohen--Macaulay bigraded modules
Let be a field and be the standard
bigraded polynomial ring over . In this paper, we explicitly describe the
structure of finitely generated bigraded "sequentially Cohen--Macaulay"
-modules with respect to . Next, we give a
characterization of sequentially Cohen--Macaulay modules with respect to in
terms of local cohomology modules. Cohen--Macaulay modules that are
sequentially Cohen--Macaulay with respect to are considered