In this paper we characterize the h-vector of a Gorenstein codimension three domain. Main tool is a lifting theorem which asserts that every codimension three homogeneous Gorenstein ideal with degree matrix verifying certain numerical conditions can be lifted to a codimension three Gorenstein prime ideal
AbstractThe lifting problem for homogeneous ideals is studied. A relation between a homogeneous idea...
Let $(R,\mathfrak{m},\Bbbk)$ be a regular local ring of dimension 3. Let $I$ be a Gorenstein ideal o...
AbstractWe show that the Ehrhart h-vector of an integer Gorenstein polytope with a regular unimodula...
The study of the h-vectors of graded Gorenstein algebras is an important topic in combinatorial comm...
AbstractWe obtain the number and the degrees of the generators of the ideal of a k-configuration in ...
We present a method to inductively construct Gorenstein ideals of any codimension c. We start from ...
After the structure theorem of Buchsbaum and Eisenbud [1] on Gorenstein ideals of codimension 3, muc...
We classify all possible h-vectors of graded artinian Gorenstein algebras in socle degree 4 and codi...
In this paper, we present a method to inductively construct Gorenstein ideals of any codimension c. ...
This thesis consists of two parts. Part one revolves around a construction for homogeneous Gorenstei...
Abstract. For homomorphism σ: K → S of commutative rings, where K is Gorenstein and S is essentially...
The first example of a non unimodal Gorenstein $h$-vector was given by Stanley, it is $(1,13,12,13,1...
AbstractThis paper gives a new postulation of the Hubert function of a Cohen-Macaulay homogeneous do...
In this short paper we establish a (non-trivial) lower bound on the degree two entry h2 of a Gorenst...
AbstractThe lifting problem for homogeneous ideals is studied. A relation between a homogeneous idea...
Let $(R,\mathfrak{m},\Bbbk)$ be a regular local ring of dimension 3. Let $I$ be a Gorenstein ideal o...
AbstractWe show that the Ehrhart h-vector of an integer Gorenstein polytope with a regular unimodula...
The study of the h-vectors of graded Gorenstein algebras is an important topic in combinatorial comm...
AbstractWe obtain the number and the degrees of the generators of the ideal of a k-configuration in ...
We present a method to inductively construct Gorenstein ideals of any codimension c. We start from ...
After the structure theorem of Buchsbaum and Eisenbud [1] on Gorenstein ideals of codimension 3, muc...
We classify all possible h-vectors of graded artinian Gorenstein algebras in socle degree 4 and codi...
In this paper, we present a method to inductively construct Gorenstein ideals of any codimension c. ...
This thesis consists of two parts. Part one revolves around a construction for homogeneous Gorenstei...
Abstract. For homomorphism σ: K → S of commutative rings, where K is Gorenstein and S is essentially...
The first example of a non unimodal Gorenstein $h$-vector was given by Stanley, it is $(1,13,12,13,1...
AbstractThis paper gives a new postulation of the Hubert function of a Cohen-Macaulay homogeneous do...
In this short paper we establish a (non-trivial) lower bound on the degree two entry h2 of a Gorenst...
AbstractThe lifting problem for homogeneous ideals is studied. A relation between a homogeneous idea...
Let $(R,\mathfrak{m},\Bbbk)$ be a regular local ring of dimension 3. Let $I$ be a Gorenstein ideal o...
AbstractWe show that the Ehrhart h-vector of an integer Gorenstein polytope with a regular unimodula...
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