AbstractLetK[t1,t2,…,tn] be the polynomial ring innvariables over a fieldK. We fix an integerdand a sequencea=(a1,a2,…,an) of integers with 1≤a1≤a2≤···≤an≤dandd<∑i=1nai. LetA(a;d) denote theK-subalgebra ofK[t1,t2,…,tn] generated by all monomials of the formt1x1t2x2···tnxnwithx1+x2+···+xn=dand withxi≤aifor each 1≤i≤n. In this paper we classify all the sequencesaand integersdfor which the algebraA(a;d) is Gorenstein
We associate with every pure flag simplicial complex Delta a standard graded Gorenstein F-algebra R_...
The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a ...
International audienceGiven a multi-index sequence $σ$, we present a new efficient algorithm to comp...
Let K[t1, t2 , . . . , tn] be the polynomial ring in n variables over a field K. We fix an integer d...
Let R be the power series ring or the polynomial ring over a field k and let I be an ideal of R. Mac...
Abstract. In this paper we study the algebras generated by the entries of a certain submatrix and th...
In order to give an elementwise characterization of a subintegral extension of ℚ-algebras, a family ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
Let Y be a closed subscheme of Pn−1 k defined by a homogeneous ideal I⊂ A=k[X1,...,Xn], and X obtain...
AbstractLet (an)n⩾0 be a sequence of complex numbers such that its generating series satisfies ∑n⩾0a...
Let (an)n≥0 be a sequence of complex numbers such that its gen-erating series satisfies n≥0 ant n = ...
We introduce a notion of Gorenstein algebras of codimension c and demonstrate that Serre duality the...
AbstractA Gorenstein A-algebra R of codimension 2 is a perfect finite A-algebra such that R≅ExtA2(R,...
Dedicated to the memory of Fernando Serrano Let Y be a closed subscheme of Pn−1 k defined by a homog...
Let p(x1,..., xr) be a polynomial in r variables whose terms have the same total degree, and let s ≥...
We associate with every pure flag simplicial complex Delta a standard graded Gorenstein F-algebra R_...
The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a ...
International audienceGiven a multi-index sequence $σ$, we present a new efficient algorithm to comp...
Let K[t1, t2 , . . . , tn] be the polynomial ring in n variables over a field K. We fix an integer d...
Let R be the power series ring or the polynomial ring over a field k and let I be an ideal of R. Mac...
Abstract. In this paper we study the algebras generated by the entries of a certain submatrix and th...
In order to give an elementwise characterization of a subintegral extension of ℚ-algebras, a family ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
Let Y be a closed subscheme of Pn−1 k defined by a homogeneous ideal I⊂ A=k[X1,...,Xn], and X obtain...
AbstractLet (an)n⩾0 be a sequence of complex numbers such that its generating series satisfies ∑n⩾0a...
Let (an)n≥0 be a sequence of complex numbers such that its gen-erating series satisfies n≥0 ant n = ...
We introduce a notion of Gorenstein algebras of codimension c and demonstrate that Serre duality the...
AbstractA Gorenstein A-algebra R of codimension 2 is a perfect finite A-algebra such that R≅ExtA2(R,...
Dedicated to the memory of Fernando Serrano Let Y be a closed subscheme of Pn−1 k defined by a homog...
Let p(x1,..., xr) be a polynomial in r variables whose terms have the same total degree, and let s ≥...
We associate with every pure flag simplicial complex Delta a standard graded Gorenstein F-algebra R_...
The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a ...
International audienceGiven a multi-index sequence $σ$, we present a new efficient algorithm to comp...
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