English

Brill-Noether theory of squarefree modules supported on a graph

Commutative Algebra 2016-09-30 v3 Combinatorics

Abstract

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 theorem.

Keywords

Cite

@article{arxiv.1001.4375,
  title  = {Brill-Noether theory of squarefree modules supported on a graph},
  author = {Gunnar Fløystad and Henning Lohne},
  journal= {arXiv preprint arXiv:1001.4375},
  year   = {2016}
}

Comments

Major revision, new author added, paper restructured, results corrected

R2 v1 2026-06-21T14:38:54.517Z