Browsing Department of Mathematics by Author "Fløystad, Gunnar"

Now showing items 1-4 of 4

    • Brill–Noether theory of squarefree modules supported on a graph 

      Fløystad, Gunnar; Lohne, Henning (Peer reviewed; Journal article, 2013-05)
      We investigate the analogy between squarefree Cohen- Macaulay modules supported on a graph and line bundles on a curve. We prove a Riemann–Roch theorem, we study the Jacobian and gonality of a graph, and we prove Clifford’s ...

    • Polarizations of powers of graded maximal ideals 

      Almousa, Ayah; Fløystad, Gunnar; Lohne, Henning (Journal article; Peer reviewed, 2022)
      We give a complete combinatorial characterization of all possible polarizations of powers of the graded maximal ideal (x1, x2, . . . , xm) n of a polynomial ring in m variables. We also give a combinatorial description of ...

    • Pre- and post-lie algebras: The algebro-geometric view 

      Fløystad, Gunnar; Munthe-Kaas, Hans (Peer reviewed; Journal article, 2019)
      We relate composition and substitution in pre- and post-Lie algebras to algebraic geometry. The Connes-Kreimer Hopf algebras and MKW Hopf algebras are then coordinate rings of the infinite-dimensional affine varieties ...

    • Triangulations of polygons and stacked simplicial complexes: separating their Stanley–Reisner ideals 

      Fløystad, Gunnar; Orlich, Milo (Journal article; Peer reviewed, 2022)
      A triangulation of a polygon has an associated Stanley–Reisner ideal. We obtain a full algebraic and combinatorial understanding of these ideals and describe their separated models. More generally, we do this for stacked ...