• Families of Artinian and one-dimensional algebras 

      Kleppe, Jan Oddvar (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 

      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 Gorenstein algebras 

      Kleppe, Jan Oddvar (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 ...