Blar i TKD - Institutt for informasjonsteknologi på emneord "VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414"
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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 ... -
The Dirac operator on compact quantum groups
(Journal für die reine und angewandte Mathematik;2010 (641), Journal article; Peer reviewed, 2010-01-20)For the q-deformation Gq, 0 < q < 1, of any simply connected simple compact Lie group G we construct an equivariant spectral triple which is an isospectral deformation of that defined by the Dirac operator D on G. Our ... -
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 ... -
Families of Determinantal Schemes
(Proceedings of the American Mathematical Society;, Journal article; Peer reviewed, 2011-03-16)Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hilb^p(P^n) the locus of good determinantal schemes X in P^n of codimension c defined by the maximal minors of a t x (t+c-1) ... -
Families of low dimensional determinantal schemes
(Journal of Pure and Applied Algebra;215 (7), Journal article; Peer reviewed, 2010-11-09)A scheme X in P^n of codimension c is called standard determinantal if its homogeneous saturated ideal can be generated by the t x t minors of a homogeneous t x (t+c-1) matrix (f_{ij}). Given integers a_0 <= a_1 <= ... <= ... -
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 ... -
Liaison invariants and the Hilbert scheme of codimension 2 subschemes in P^{n+2}
(Progress in Mathematics;Vol. 280, Chapter; Peer reviewed, 2010)In this paper we study the Hilbert scheme, Hilb(P), of equidimensional locally Cohen-Macaulay codimension 2 subschemes, with a special look to surfaces in P^4 and 3-folds in P^5, and the Hilbert scheme stratification H_c ... -
Moduli Spaces of Reflexive Sheaves of Rank 2
(Canadian Journal of Mathematics;62 (5), Journal article; Peer reviewed, 2010)Let F be a coherent rank 2 sheaf on a scheme Y in P^n of dimension at least two. In this paper we study the relationship between the functor which deforms a pair (F,s), s in H^0(F), and the functor which deforms the ... -
Notes on the Kazhdan-Lusztig Theorem on Equivalence of the Drinfeld Category and the Category of U(q)g-Modules
(Algebras and Representation Theory;14 (5), Journal article; Peer reviewed, 2011) -
Quantization of subgroups of the affine group
(Journal of Functional Analysis;Volume 280, Issue 4, 108844, Journal article; Peer reviewed, 2021-02-15)Consider a locally compact group such that V is abelian and the action of Q on the dual abelian group has a free orbit of full measure. We show that such a group G can be quantized in three equivalent ways: (1) by ... -
Unobstructedness and dimension of families of codimension 3 ACM algebras
(Contemporary Mathematics;448, Journal article; Peer reviewed, 2007)The goal of this paper is to study irreducible families of codimension 3, Cohen-Macaulay quotients A of a polynomial ring R=k[x_0,x_1,...,x_n]; mainly, we study families of graded Cohen-Macaulay quotients A of codimension ... -
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 ...