Browsing Bergen Open Research Archive by Author "Lohne, Henning"
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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 ... -
Square-free modules and ideals: Brill–Noether theory, polarizations, and deformations.
Lohne, Henning (Doctoral thesis, 2013-05-24)