Add to ORKGWe provide bounds on the Castelnuovo-Mumford regularity in terms of ``defining equations'' by using elements that annihilates some cohomology modules, inspired by works of Miyazaki, Nagel, Schenzel and Vogel. The elements in these annihilators are provided either by liaison or by tight closure theories. Our results hold in any characteristic
In this work we will answer, to some degree, the question: What happens to étale cohomology above th...
In recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been deve...
AbstractLet X be a projective scheme over a field K and let F be a coherent sheaf of OX-modules. We ...
The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal f...
AbstractGiven a homogeneous ideal I⊂K[x0,…,xn] defining a subscheme X of projective n-space PKn, we ...
In this article we extend a previous definition of Castelnuovo–Mumford regularity for modules over a...
We establish strong relationships between the Castelnuovo Mumford regularity and the Ratliff Rush cl...
We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we ...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
AbstractWe compare the cohomological annihilators of a projective subscheme and its general hypersur...
One of the fundamental links between geometry and homological algebra is that smooth affine schemes ...
summary:Let $\mathfrak a$ be an ideal of a commutative Noetherian ring $R$ and $t$ be a nonnegative ...
This article first presents two examples of algorithms that extracts information on scheme out of it...
The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal f...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
In this work we will answer, to some degree, the question: What happens to étale cohomology above th...
In recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been deve...
AbstractLet X be a projective scheme over a field K and let F be a coherent sheaf of OX-modules. We ...
The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal f...
AbstractGiven a homogeneous ideal I⊂K[x0,…,xn] defining a subscheme X of projective n-space PKn, we ...
In this article we extend a previous definition of Castelnuovo–Mumford regularity for modules over a...
We establish strong relationships between the Castelnuovo Mumford regularity and the Ratliff Rush cl...
We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we ...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
AbstractWe compare the cohomological annihilators of a projective subscheme and its general hypersur...
One of the fundamental links between geometry and homological algebra is that smooth affine schemes ...
summary:Let $\mathfrak a$ be an ideal of a commutative Noetherian ring $R$ and $t$ be a nonnegative ...
This article first presents two examples of algorithms that extracts information on scheme out of it...
The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal f...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
In this work we will answer, to some degree, the question: What happens to étale cohomology above th...
In recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been deve...
AbstractLet X be a projective scheme over a field K and let F be a coherent sheaf of OX-modules. We ...