Abstract. Let S be a standard Nk-graded polynomial ring over a field k, let I be a multigraded homogeneous ideal of S, and let M be a finitely generated Zk-graded S-module. We prove that the resolution regularity, a multigraded variant of Castelnuovo-Mumford regularity, of InM is asymptotically a linear function. This shows that the well known Z-graded phenomenon carries to the multigraded situation. 1
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth project...
Suppose G is a standard graded ring over an infinite field, with positively graded piece G+. From th...
AbstractLet S be a standard Nk-graded polynomial ring over a field k, let I be a multigraded homogen...
AbstractLet S be a standard Nk-graded polynomial ring over a field k, let I be a multigraded homogen...
Abstract. Upper bounds are established on the shifts in a minimal resolution of a multi-graded modul...
Let S be a polynomial ring over a field. For a graded S-module generated in degree at most P, the Ca...
In recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been deve...
Let A be a Noetherian standard N-graded algebra over an Artinian local ring A(0). Let I-1,...,I-t be...
AbstractIn recent years, two different multigraded variants of Castelnuovo–Mumford regularity have b...
In this article we extend a previous definition of Castelnuovo–Mumford regularity for modules over a...
We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we ...
Given a finitely generated module $M$ over a commutative local ring (or a standard graded $k$-alg...
We define the concept of regularity for multigraded modules over a multigraded polynomial ring. In t...
The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely gene...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth project...
Suppose G is a standard graded ring over an infinite field, with positively graded piece G+. From th...
AbstractLet S be a standard Nk-graded polynomial ring over a field k, let I be a multigraded homogen...
AbstractLet S be a standard Nk-graded polynomial ring over a field k, let I be a multigraded homogen...
Abstract. Upper bounds are established on the shifts in a minimal resolution of a multi-graded modul...
Let S be a polynomial ring over a field. For a graded S-module generated in degree at most P, the Ca...
In recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been deve...
Let A be a Noetherian standard N-graded algebra over an Artinian local ring A(0). Let I-1,...,I-t be...
AbstractIn recent years, two different multigraded variants of Castelnuovo–Mumford regularity have b...
In this article we extend a previous definition of Castelnuovo–Mumford regularity for modules over a...
We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we ...
Given a finitely generated module $M$ over a commutative local ring (or a standard graded $k$-alg...
We define the concept of regularity for multigraded modules over a multigraded polynomial ring. In t...
The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely gene...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth project...
Suppose G is a standard graded ring over an infinite field, with positively graded piece G+. From th...