English

On tropical Clifford's Theorem

Algebraic Geometry 2010-02-23 v2

Abstract

We prove an analogue of Clifford's inequality for tropical curves. Next we focus on the hyperelliptic case and we characterize divisors attaining equality. Finally we speculate whether inequality in tropical Clifford's Theorem does imply hyperellipticity, in analogy with the classical case.

Keywords

Cite

@article{arxiv.1001.3249,
  title  = {On tropical Clifford's Theorem},
  author = {Laura Facchini},
  journal= {arXiv preprint arXiv:1001.3249},
  year   = {2010}
}
R2 v1 2026-06-21T14:36:29.544Z