• Families of Determinantal Schemes 

      Kleppe, Jan Oddvar; Miro-Roig, Rosa Maria (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) ...
    • Ideals generated by submaximal minors 

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