Blar i Fakultet for teknologi, kunst og design (TKD) på emneord "Parametrization"
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Deformations of modules of maximal grade and the Hilbert scheme at determinantal schemes
(Journal of Algebra;407, Journal article; Peer reviewed, 2014-04-04)Let R be a polynomial ring and M a finitely generated graded R-module of maximal grade (which means that the ideal I_t(\cA) generated by the maximal minors of a homogeneous presentation matrix, \cA, of M has maximal ... -
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 ... -
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 ...