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arXiv · 1702.00918

Brill-Noether loci of rank two vector bundles on a general $\nu$-gonal curve

Youngook Choi·Flaminio Flamini·Seonja Kim
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Abstract

In this paper we study the Brill Noether locus of rank 2, (semi)stable vector bundles with at least two sections and of suitable degrees on a general $\nu$-gonal curve. We classify its reduced components whose dimensions are at least the corresponding Brill-Noether number. We moreover describe the general member $\mathcal F$ of such components just in terms of extensions of line bundles with suitable {\em minimality properties}, providing information on the birational geometry of such components as well as on the very-ampleness of $\mathcal F$.

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Youngook Choi, Flaminio Flamini, Seonja Kim. 2017-02-03. Brill-Noether loci of rank two vector bundles on a general $\nu$-gonal curve. https://arxiv.org/abs/1702.00918

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