On tropical Clifford's Theorem

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.

References in corpus (4)

• Geometry of tropical moduli spaces and linkage of graphs
• Linear Systems on Tropical Curves
• A tropical proof of the Brill-Noether Theorem
• Generators of modules in tropical geometry