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arxiv: 1608.06421 · v6 · pith:PSCJW76Unew · submitted 2016-08-23 · 🧮 math.AG

Some examples of rank-2 Brill-Noether loci

classification 🧮 math.AG
keywords examplessomebrill-noethergenuslocirankrank-2bakker
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In this paper, we construct some examples of rank-2 Brill-Noether loci with "unexpected" properties on general curves. The key example is in genus 6, but we also have interesting examples in rank 5 and in higher genus. We relate some of our results to the recent proof of Mercat's conjecture in rank 2 by Bakker and Farkas.

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