Blar i TKD - Institutt for informasjonsteknologi på emneord "Gorenstein"
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Families of Artinian and one-dimensional algebras
(Journal of Algebra;311, Journal article; Peer reviewed, 2007)The purpose of this paper is to study families of Artinian or one dimensional quotients of a polynomial ring R with a special look to level algebras. Let GradAlg^H(R) be the scheme parametrizing graded quotients of R with ... -
Ideals generated by submaximal minors
(Algebra & Number Theory;3 (4), Journal article; Peer reviewed, 2009)The goal of this paper is to study irreducible families W(b;a) of codimension 4, arithmetically Gorenstein schemes X of P^n defined by the submaximal minors of a t x t matrix A whose entries are homogeneous forms of degree ... -
Unobstructedness and dimension of families of Gorenstein algebras
(Collectanea Mathematica; 58(2), Journal article; Peer reviewed, 2007)The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a polynomial ring R. We prove a very general Theorem on deformations of the homogeneous coordinate ring of a scheme Proj A ...