International audienceIn this paper, it is shown that the Hilbert series of a Borel type ideal may be computed within a complexity which is polynomial in $D^n$ where $n + 1$ is the number of unknowns and $D$ is the highest degree of a minimal generator of input (monomial) ideal
AbstractLet R ≅ k[x1,..., xr]/(F1,..., Fn) where (F1,..., Fn) denotes the ideal of homogeneous polyn...
Borel-fixed ideals play a key role in the study of Hilbert schemes. Indeed each component and each i...
Borel-fixed ideals play a key role in the study of Hilbert schemes. Indeed each component and each i...
International audienceIn this paper, it is shown that the Hilbert series of a Borel type ideal may b...
We continue the study of counting complexity begun in [11, 14, 13] by proving upper and lower bounds...
We prove a theorem, which provides a formula for the computation of the Poincaré series of a monomia...
International audienceThe main purpose of this paper is to improve the bound of complexity of the we...
The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's g...
The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's g...
The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's g...
AbstractA natural way to use computer calculations in mathematics is to solve lots of special cases ...
AbstractA natural way to use computer calculations in mathematics is to solve lots of special cases ...
AbstractWe describe a new algorithm for computing standard and multi-graded Hilbert-Poincaré series ...
We describe a new algorithm for computing standard and multi-graded Hilbert-Poincare series of a mon...
We prove a theorem, which provides a formula for the computation of the Poincar\'e series of a monom...
AbstractLet R ≅ k[x1,..., xr]/(F1,..., Fn) where (F1,..., Fn) denotes the ideal of homogeneous polyn...
Borel-fixed ideals play a key role in the study of Hilbert schemes. Indeed each component and each i...
Borel-fixed ideals play a key role in the study of Hilbert schemes. Indeed each component and each i...
International audienceIn this paper, it is shown that the Hilbert series of a Borel type ideal may b...
We continue the study of counting complexity begun in [11, 14, 13] by proving upper and lower bounds...
We prove a theorem, which provides a formula for the computation of the Poincaré series of a monomia...
International audienceThe main purpose of this paper is to improve the bound of complexity of the we...
The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's g...
The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's g...
The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's g...
AbstractA natural way to use computer calculations in mathematics is to solve lots of special cases ...
AbstractA natural way to use computer calculations in mathematics is to solve lots of special cases ...
AbstractWe describe a new algorithm for computing standard and multi-graded Hilbert-Poincaré series ...
We describe a new algorithm for computing standard and multi-graded Hilbert-Poincare series of a mon...
We prove a theorem, which provides a formula for the computation of the Poincar\'e series of a monom...
AbstractLet R ≅ k[x1,..., xr]/(F1,..., Fn) where (F1,..., Fn) denotes the ideal of homogeneous polyn...
Borel-fixed ideals play a key role in the study of Hilbert schemes. Indeed each component and each i...
Borel-fixed ideals play a key role in the study of Hilbert schemes. Indeed each component and each i...