Bundles of rank 2 with small Clifford index on algebraic curves

Abstract

In this paper, we remove a technical hypothesis from a previous paper. This allows us to construct stable bundles of rank 2 with Clifford index significantly smaller than the classical Clifford index on suitably chosen curves of any genus $\ge 13$.

14 pages. In this version, the hypotheses of the theorem are substantially weakened, thus producing a best possible result

References in corpus (2)

• The maximal rank conjecture and rank two Brill-Noether theory
• Further examples of stable bundles of rank 2 with 4 sections

Cited by in corpus (2)

• Bundles of rank 3 on curves of Clifford index 3
• Counterexamples to Mercat's Conjecture