Add to ORKGRegularity of an ideal I is de�ned to be the minimal number r such thatthe i-th syzygy module of I is generated by elements of degree ≤ i + r for alli ≥ 0. It is denoted by reg I. The regularity of an ideal can be considered as are�ned notion of the maximal degree of minimal generators of I as a measureof the complexity of Gröbner basis computations and it is important both fromthe computational and theoretical point of view
My PhD-project has two main research directions. The first direction is on partial regularities whic...
We give a self-contained exposition of Mayr & Meyer's example of a polynomial ideal exhibiting doubl...
Let $S = K[x_1, \ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ with each...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely gene...
Castelnuovo-Mumford regularity is one of the main numerical invariants that measure the complexity o...
AbstractThe Castelnuovo–Mumford regularity of a module gives a rough measure of its complexity. We b...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
We study the Castelnuovo-Mumford regularity of the module of Koszul cycles of a homogeneous ideal I ...
rédigé en 2004-2008Bayer and Stillman proved that the complexity of an ideal (or a module) is the sa...
We answer several natural questions which arise from a recent paper of McCullough and Peeva providin...
We survey a number of recent studies of the Castelnuovo-Mumford regularity of squarefree monomial id...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
My PhD-project has two main research directions. The first direction is on partial regularities whic...
We give a self-contained exposition of Mayr & Meyer's example of a polynomial ideal exhibiting doubl...
Let $S = K[x_1, \ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ with each...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely gene...
Castelnuovo-Mumford regularity is one of the main numerical invariants that measure the complexity o...
AbstractThe Castelnuovo–Mumford regularity of a module gives a rough measure of its complexity. We b...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
We study the Castelnuovo-Mumford regularity of the module of Koszul cycles of a homogeneous ideal I ...
rédigé en 2004-2008Bayer and Stillman proved that the complexity of an ideal (or a module) is the sa...
We answer several natural questions which arise from a recent paper of McCullough and Peeva providin...
We survey a number of recent studies of the Castelnuovo-Mumford regularity of squarefree monomial id...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
My PhD-project has two main research directions. The first direction is on partial regularities whic...
We give a self-contained exposition of Mayr & Meyer's example of a polynomial ideal exhibiting doubl...
Let $S = K[x_1, \ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ with each...