• Autoequivalences of the Tensor Category of U(q)g-modules 

      Neshveyev, Sergey; Tuset, Lars (International mathematics research notices;(15), Journal article; Peer reviewed, 2012)
    • Components of the Hilbert scheme of space curves on low-degree smooth surfaces 

      Kleppe, Jan Oddvar; Ottem, John Christian (International Journal of Mathematics;26(2), Journal article; Peer reviewed, 2015-02-27)
      We study maximal families W of the Hilbert scheme, H(d, g)sc, of smooth connected space curves whose general curve C lies on a smooth surface S of degree s. We give conditions on C under which W is a generically smooth ...
    • An efficient particle swarm optimizer with application to Man-Day project scheduling problems 

      Chen, Ruey-Maw; Sandnes, Frode Eika (Mathematical problems in engineering;, Journal article; Peer reviewed, 2014-05-06)
      The multimode resource-constrained project scheduling problem (MRCPSP) has been confirmed to be an NP-hard problem. Particle swarm optimization (PSO) has been efficiently applied to the search for near optimal solutions ...
    • The Hilbert Scheme of Buchsbaum space curves 

      Kleppe, Jan Oddvar (Annales de l'Institut Fourier;62, Journal article; Peer reviewed, 2012)
      We consider the Hilbert scheme H(d,g) of space curves C with homogeneous ideal I(C):=H_{*}^0(\sI_C) and Rao module M:=H_{*}^1(\sI_C). By taking suitable generizations (deformations to a more general curve C') of C, we ...
    • On second cohomology of duals of compact quantum groups 

      Tuset, Lars; Neshveyev, Sergey (International Journal of Mathematics;22 (9), Journal article; Peer reviewed, 2011-09)
      We show that for any compact connected group G the second cohomology group de ned by unitary invariant 2-cocycles on ^G is canonically isomorphic to H2(\Z(G); T). This implies that the group of autoequivalences of the C ...
    • On the normal sheaf of determinantal varieties 

      Kleppe, Jan Oddvar; Miro-Roig, Rosa M. (Journal für die Reine und Angewandte Mathematik;, Journal article; Peer reviewed, 2014-06-18)
      Let X be a standard determinantal scheme X of P^n of codimension c, i.e. a scheme defined by the maximal minors of a tx(t+c-1)homogeneous polynomial matrix A. In this paper, we study the main features of its normal sheaf ...
    • Unobstructedness and dimension of families of codimension 3 ACM algebras 

      Kleppe, Jan Oddvar; Miro-Roig, Rosa Maria (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 ...